You had a car on your books for Car 33,114.44, Acc Dep - Car 27,026.46, so the book value of that car was 6,087.98, right?
You traded the old car plus cash for the new car, with a sale price of 58,895.33 for the new car, and cash of 37,895.33.
You need a gain in your entry to represent the amount you got for your trade-in over the book value of your old car.
So your entry is:
DR Car......................... 58,895.33 (new car purchase price)
DR Acc Dep - Car........ 27,026.46
CR Car.............................................. 33,114.44 (old car purchase price, plus Acc Dep equals the book value of old car)
CR Cash............................................ 37,895.33
CR Gain on Trade In........................14,912,02 (the difference between your trade-in and its book value--nice!)
"Amount to be depreciated at time of trade-in" refers to what depreciable asset? The new car? The old car? It isn't obvious where it fits into the problem.