My2001 vw jetta manual transmission wont come out of 3rd gear and i dont know why

It sounds like you may have a bad synchronizer gear. Unless you know how to take down a transmission and replace it I'd visit a good reputable shop to get their opinion and estimate.

you must get under the car, there will be 2 large bolts that should jump out from the rest. the lower 1 is the drain, the upper 1 is for adding fluid. Manual trans dont have fill necks or dip sticks under the hood like automatic transmissions.

the clutch may burn out on those gear, check the fluid if it smell burn

Inside the transmission case above the pan. You should probably let a transmission mechanic handle this one.

Have you checked your transmission fluid?

definitely something in the tranny

dis canekt the batrey 4 10mins and than leter it till it gows up a ger and chek the oil in it

Shop for a rebuilt transmission, or get an estimate from AAMCO for a rebuild job, but it won't be cheap. Get at least 3 estimates before you decide how to proceed. Good luck.

throw out bearing

hi if its just second to thrid then the clutch is slipping on thrid gear look at the boxes oil level is important but look at the colour is it red and tranperant as this is ok if its brown its a sign of the clutches slipping i would try a stall test on thrid gear first and if its ok second gear [manually] see is the engine stalls at the correct rpm if you thinkabout it imagine you are in thrid gear in a manuual box and suddenly drop into second it would be hard shifting it could also be a faulty thrid gear solenoid yates210456