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An asset was purchased for $$139,000$ on January $1,$ Year $1,$ and originally estimated to have a useful life of $12$ years with a residual value of $$8,500.$ At the beginning of the third year, it was determined that the remaining useful life of the asset was only $4$ years with a residual value of $$1,800.$ Compute the third$-$year depreciation expense using the revised amounts and straight$-$line method.

a$.$ $$28,862\mathrm{.}50$

b$.$ $$27,862\mathrm{.}50$

c$.$ $$29,862\mathrm{.}50$

d$.$ $$29,362\mathrm{.}50$