Need to install a new power steering pump on my 1992 lumina

You don't have a cable. Are you talking about belt? If serpentine belt, there is a tensioner, you turn tensioner to remove tension on belt to remove.
You probably have power steering pump, power steering fluid lines, rack and pinion, steering linkages.
At the moment, I'm not sure your talking about?

• SERVICE AND REPAIR

Camshaft Sensor Follow this URL for picture:_
http://alldatapro.com/alldata/PRO~V416324719~C30660~R0~OB0~P3R0H~N/0/41746052/42417623/42417638/42422763/34853741/34857029/34857030/101366976/14461280/42437587/41882479

REMOVE OR DISCONNECT

• Negative battery.
• Serpentine drive belt and secondary air injection drive belt.
• Power steering pump.
• Electrical connector.
• Bolt (1). Refer to Figure.
• Camshaft sensor.

INSTALL OR CONNECT

• Camshaft sensor.
• Bolt (1) torque to 10 Nm (8 ft lb).
• Electrical connector.
• Power steering pump.
• Serpentine drive belt and secondary air injection drive be!t.
• Negative battery cable.

YOU FIRST YOU NEED TO REMOVE COOLANT RECOVERY RESERVOIR. YOU NEED TO REMOVE DRIVE BELT.NOW PLACE DRAIN PAN UNDER CAR IN LINE WITH POWER STEERING PUMP.NOW SIPHON OUT MUCH POWER STEERING FLUID OUT RESERVOIR USING A SIPHON.ONCE FLUID REMOVE OUT POWER STEERING PUMP.USE A DEEP 3/8 SOCKET ABOUT 13M OR 14 M YOU NEED A SHORT EXTENSION AND A 3/8 RATCHET WRENCH.TO REMOVE POWER STEERING PUMP.TO LOOSEN BOLTS, TAKE DEEP SOCKET IN PULLEY HOLES . LOOK THROUGH POWER STEERING PULLEY HOLES ALIGN DEEP SOCKET THROUGH THE PULLEY HOLES TO THE PUMP BOLTS. LOOSEN ALL THREE BOLTS. YOU HAVE TO TURN PULLEY THREE TIMES TO REMOVE ALL THE POWER STEERING PUMP BOLTS.ONCE POWER STEERING PUMP BOLTS REMOVED.TAKE OLD POWER STEERING PUMP TO THE MACHINE SHOP.THEY WILL HAVE TO REMOVE PULLEY OFF OLD PUMP AND TRANSFER DRIVE PULLEY TO NEW POWER STEERING PUMP.NOW WHEN YOU INSTALL NEW POWER STEERING PUMP.MAKE SURE TO BUY A NEW O RING FOR THE HIGH PRESSURE HOSE TO POWER STEERING PUMP. WHEN ALL DONE BLEED POWER STEERING PUMP. WITH THE FRONT WHEELS TURNED ALL THE WAY TO THE LEFT AND THE IGNITION KEY OFF, CHECK THE POWER STEERING FLUID LEVEL AND IF LOW ADD FLUID UNTIL IT REACHES THE COLD MARK ON THE DIP STICK.SAFELY RAISE FRONT WHEEL OFF GROUND BY SUPPORTING FRONT OF THE CAR USING JACK STANDS, MAKE SURE CAR SITTING ON SOLID LEVEL GROUND. START THE ENGINE AND ALLOW IT TO RUN AT FAST IDLE.RECHECK THE FLUID LEVEL AND ADD MORE IF NECESSARY TO REACH THE COLD MARK ON THE DIP STICK.BLEED THE SYSTEM BY TURNING THE WHEELS FROM SIDE TO SIDE WITHOUT HITTING A STOPS.THIS WILL WORK THE AIR OUT OF THE SYSTEM. DONT ALLOW THE RESERVOIR TO RUN OUT OF FLUID. WHEN AIR IS WORKED OUT OF THE SYSTEM.RETURN THE WHEELS TO THE STRAIGHT AHEAD POSITION, AND LEAVE THE ENGINE RUNNING FOR SEVERAL MINUTES BEFORE SHUTTING OFF. RECHECK THE FLUID LEVEL.ROAD TEST THE VECHICLE TO BE SURE THE STEERING SYSTEM IS FUNCTIONING NORMALLY WITH NO NOISE.RECHECK THE FLUID LEVEL TO BE SURE ITS UP TO THE HOT MARK ON THE DIP STICK WHILE THE ENGINE IS AT NORMAL OPERATING TEMPERATURE ADD FLUID IF NECESSARY.

1. Remove serpentine belt

2. loosen power steering pressure and return hoses

3. Remove nut from pressure line mounting on alternator bracket

4. remove power steering pump mounting bolts.

5. Lift pump assembly from engine mounting and remove hoses.

6. Reverse order to install. Fill and bleed system.

NOTE: A new or rebuilt power steering pump will most likely not come with a pulley attached. You will need a power steering pulley remover/installer tool to transfer the pully from the old pump to the new one.

1. Disconnect the negative battery cable.
2. Temporarily loosen the water pump pulley bolts, 1.6L (VIN 3) engine only.
3. Remove the front air intake inlet pipe bolts, 1.8L engine only.
4. Remove the top hose from the air intake inlet pipe, 1.8L engine only.
5. Remove the air intake inlet pipe clamp and the pipe, 1.8L engine only.
6. Remove the power steering pump, 2.0L engine only.
7. Remove the power steering pump bracket, 2.0L engine only.
8. Remove the alternator B terminal cover cap.
9. Disconnect the alternator electrical connections.
10. Loosen, but do not remove the alternator pivot bolt and the tensioner mounting bolt.
11. Remove the drive belt(s); relieve tension on the belt by rotating the adjustment bolt.
12. Remove the water pump pulley, 1.6L (VIN 3) engine only.
13. Remove the power steering pump, 1.6L (VIN 3) engine only.
14. Remove the power steering pump bracket, 1.6L (VIN 3) engine only.
15. Remove the alternator tensioner mounting bolt and the belt tensioner.
16. Remove the alternator pivot bolt.
17. Loosen the bolt at the base of the adjusting bracket and rotate the bracket up.
18. Remove the alternator.
    
    

    Fig. Alternator mounting-1.5L and 1.6L (VIN 5) engine shown
    
    
    

    Fig. Alternator mounting-2.0L and 1.6L (VIN 3) engines shown
    
    
    

    Fig. Alternator mounting-2.4L and 2.7L engine
    

To install:

1. Before servicing the vehicle, refer to the Precautions Section.
2. Install the alternator.
3. Install the alternator pivot bolt and hand-tighten at this time.
4. Rotate the adjusting bracket into position, place the belt tensioner into position. Hand-tighten the mounting bolt.
5. Install the drive belt.
6. Adjust the belt tension by rotating the adjustment bolt.
7. The belt deflection for 1.5L, 1.6L (VIN 5), 2.4L and 2.7L engines, is as follows:
   1. New belt: 0.22-0.28 in. (5.5-7mm).
   2. Used belt: 0.24-0.28 in. (6-7mm).
   
   
8. The belt deflection for 1.6L (VIN 3) engine is as follows :
   1. New belt: 0.13-0.15 in. (3.3-3.7mm).
   2. Used belt: 0.17-0.19 in. (4.2-4.7mm).
   
   
9. The belt deflection for the 2.0L engine, is as follows:
   1. New belt: 0.22-0.31 in. (5.5-8mm).
   2. Used belt: 0.33-0.45 in. (8.5-11.5mm).
   
   
10. The belt deflection for the 1.8L engine, is as follows:
    1. New belt: 0.23-0.31 in. (6-8mm).
    2. Used belt: 0.28-0.35 in. (7-9mm).
    
    
11. Tighten the tensioner bolt to 14-19 ft. lbs. (19-26 Nm) and the pivot bolt to 28-38 ft. lbs. (38-51 Nm).
12. Connect the alternator electrical connections.
13. Install the alternator B terminal cover cap.
14. Install the power steering pump and adjust the power steering belt tension, 2.0L and 1.6L (VIN 3) engines only.
15. Install the water pump pulley, 2006 1.6L engine only.
16. Install the air intake inlet pipe and fasten the clamp, 1.8L engine only.
17. Install the top hose to the air intake inlet pipe, 1.8L engine only.
18. Install the front air intake inlet pipe bolts, 1.8L engine only.
19. Connect the negative battery cable.

-- from the 1990-1999 Lumina / Silhouette / TranSport Repair manual ---

1992 Pontiac TransPort Power Steering Pump REMOVAL AND INSTALLATION

1. Disconnect the negative battery cable.
2. Disconnect and cap the power steering pump hoses.
3. Remove the accessory drive belt.
4. Remove the power steering pump pulley using a suitable puller tool.
5. Remove the pump mounting bolts and remove the pump from the vehicle.

See Figures 1, 2 and 3

Fig. Fig. 1: On some vehicles, you must use a puller to remove the power steering pump pulley

Fig. Fig. 2: Power steering pump mounting-early model vehicle shown

Fig. Fig. 3: Power steering pump mounting-late model vehicle shown

1. Installation is the reverse of the removal procedure. Tighten the pump mounting bolts to 18 ft. lbs. (25 Nm).
2. Bleed the power steering system to remove trapped air. Air in the system could cause noise and or damage to the pump.

BLEEDING

This procedure requires the help of an assistant.

1. With the engine OFF, the wheels off the ground and turned all the way to the left, fill the fluid reservoir to the FULL COLD mark on the fluid level indicator.
2. With an assistant checking the fluid level and condition, bleed the system by turning the wheels from side to side without hitting the stops. You should repeat this at least 20 times, making sure to keep the fluid level at the FULL COLD mark.

Fluid with air in it has a light tan appearance. This air must be eliminated from the fluid before normal steering action can be obtained.
See Figure 4

Fig. Fig. 4: Power steering bleeding procedure

1. Start the engine, and while it is idling, recheck the fluid level and add as necessary to reach the FULL COLD mark.
2. Return the wheels to the center position. Lower the front wheels to the ground and continue running the engine for 2 or 3 minutes.
3. Road test the vehicle to make sure the steering functions properly and is free of noises.

See Figure 5


Fig. Fig. 5: Torque specificatio

Power steering fluid goes in the black reservoir at the top center of the belt area on the engine.

Removal & Installation

1. Before servicing the vehicle, refer to the Precautions Section.
2. Disconnect the negative battery cable.
3. Temporarily loosen the water pump pulley bolts, 1.6L (VIN 3) engine only.
4. Remove the front air intake inlet pipe bolts, 1.8L engine only.
5. Remove the top hose from the air intake inlet pipe, 1.8L engine only.
6. Remove the air intake inlet pipe clamp and the pipe, 1.8L engine only.
7. Remove the power steering pump, 2.0L engine only.
8. Remove the power steering pump bracket, 2.0L engine only.
9. Remove the alternator B terminal cover cap.
10. Disconnect the alternator electrical connections.
11. Loosen, but do not remove the alternator pivot bolt and the tensioner mounting bolt.
12. Remove the drive belt(s); relieve tension on the belt by rotating the adjustment bolt.
13. Remove the water pump pulley, 1.6L (VIN 3) engine only.
14. Remove the power steering pump, 1.6L (VIN 3) engine only.
15. Remove the power steering pump bracket, 1.6L (VIN 3) engine only.
16. Remove the alternator tensioner mounting bolt and the belt tensioner.
17. Remove the alternator pivot bolt.
18. Loosen the bolt at the base of the adjusting bracket and rotate the bracket up.
19. Remove the alternator.
    
    Fig. Alternator mounting-1.5L and 1.6L (VIN 5) engine shown
    
    
    Fig. Alternator mounting-2.0L and 1.6L (VIN 3) engines shown
    
    
    Fig. Alternator mounting-2.4L and 2.7L engine
    

To install:

1. Before servicing the vehicle, refer to the Precautions Section.
2. Install the alternator.
3. Install the alternator pivot bolt and hand-tighten at this time.
4. Rotate the adjusting bracket into position, place the belt tensioner into position. Hand-tighten the mounting bolt.
5. Install the drive belt.
6. Adjust the belt tension by rotating the adjustment bolt.
7. The belt deflection for 1.5L, 1.6L (VIN 5), 2.4L and 2.7L engines, is as follows:
   1. New belt: 0.22-0.28 in. (5.5-7mm).
   2. Used belt: 0.24-0.28 in. (6-7mm).
   
   
8. The belt deflection for 1.6L (VIN 3) engine is as follows :
   1. New belt: 0.13-0.15 in. (3.3-3.7mm).
   2. Used belt: 0.17-0.19 in. (4.2-4.7mm).
   
   
9. The belt deflection for the 2.0L engine, is as follows:
   1. New belt: 0.22-0.31 in. (5.5-8mm).
   2. Used belt: 0.33-0.45 in. (8.5-11.5mm).
   
   
10. The belt deflection for the 1.8L engine, is as follows:
    1. New belt: 0.23-0.31 in. (6-8mm).
    2. Used belt: 0.28-0.35 in. (7-9mm).
    
    
11. Tighten the tensioner bolt to 14-19 ft. lbs. (19-26 Nm) and the pivot bolt to 28-38 ft. lbs. (38-51 Nm).
12. Connect the alternator electrical connections.
13. Install the alternator B terminal cover cap.
14. Install the power steering pump and adjust the power steering belt tension, 2.0L and 1.6L (VIN 3) engines only.
15. Install the water pump pulley, 2006 1.6L engine only.
16. Install the air intake inlet pipe and fasten the clamp, 1.8L engine only.
17. Install the top hose to the air intake inlet pipe, 1.8L engine only.
18. Install the front air intake inlet pipe bolts, 1.8L engine only.
19. Connect the negative battery cable.

disconnect the return line at pump put it in a jug start the engine check for cirrulation and too bleed air keep filling pump if you have no cirrulation the reconnect the return hose and discnect the supply too see if it pumping if it is then you have a blockageif not then you may have a bad pump

I believe you are mistaken, I own a 1992 Chevy lumina APV and it has a 3.8.