In $2022,$ Leo construction traded in a light duty pickup truck that had a book value of $$18,000.$ A new pickup truck having a fair market value of $$57,404$ was acquired. Because the vendor accepted the old truck as a trade$-$in$,$ a deal was agreed, and Leo construction would only pay $$33,931$ for the new truck.

Compute the third year depreciation $(d_3)$ for the new truck using the general depreciation system method.