No third Gear or Overdrive

The other day while driving my RPM's went up and The mph were still low. When I stepped on the gas the car did not move but the rpms went up. I parked the car then put it in drive and the car went in first gear then went in 2nd gear around 20 mph then the rpm's went up with the rpm's but there was no gear change. Now the car will go into 2nd then the rpm's are high along with the mph no drop down in Overdrive while driving and no 3rd gear. I suspect that the solenoid is not coming in but i'm not sure there are no codes....help

Welcome to Af.This needs to be scanned with a trans function scanned for a proper diagnosis.