Possible reasons why the Skoda Rapid automatic transmission only shifts to 3rd gear:
Transmission problems:
* Shift solenoid malfunction
* Torque converter malfunction
* Wear of friction discs or steel plates
Electronics problems:
* Malfunction of the automatic transmission control unit
* Faulty speed sensors
* Faulty gear selector position sensor
Hydraulic problems:
* Insufficient transmission fluid level
* Contaminated transmission fluid
* Automatic transmission pump malfunction
Other reasons:
* Sliding CVT drive belt (if installed)
*Engine control unit malfunction
Possible solutions:
* Check and replace shift solenoids if necessary.
* Check and, if necessary, replace the torque converter.
* Repair or replace the gearbox.
* Check and, if necessary, repair or replace electronic components.
* Check and, if necessary, replace transmission fluid.
* Fix any hydraulic problems.
* Check and, if necessary, repair or replace the variator drive belt.
* Check and, if necessary, reprogram the engine control unit.
It is recommended to contact an authorized Skoda service center for diagnostics and repairs.