2004 Chevy S10 PU. will not shift to 3rd and 4th gear on auto transmission. Fluid level is good

Yeah mine does the same thing. When it tries to go into 3rd, it just throws it outta gear and so the rpms go up. Yeah mine does the same thing. When it tries to go into 3rd, it just throws it outta gear and so the rpms go up.

I had just got a 1996 S-10 for an older man that had no vehicle,I had to make the used car lot owner a deal,I said I would fix the problem it had that kept the check engine light on,it has to pass the smog inspection before they can sell it,so I checked the fault codes and it was a P1886,this was the fault code(shift/timing solenoid)but the truck runs real good,the tranny even feels like it's shifting fine,but we only drove it a couple miles,the only thing that I thought ,was it did shift a little firm from first to second gear,I cleared the codes and about a mile the light came back on,but none of the parts store's show a shift/timing soleniod,they show 1-2,3-4,3-2 and the solenoid that locks the converter I had just got a 1996 S-10 for an older man that had no vehicle,I had to make the used car lot owner a deal,I said I would fix the problem it had that kept the check engine light on,it has to pass the smog inspection before they can sell it,so I checked the fault codes and it was a P1886,this was the fault code(shift/timing solenoid)but the truck runs real good,the tranny even feels like it's shifting fine,but we only drove it a couple miles,the only thing that I thought ,was it did shift a little firm from first to second gear,I cleared the codes and about a mile the light came back on,but none of the parts store's show a shift/timing soleniod,they show 1-2,3-4,3-2 and the solenoid that locks the converter