Suppose you borrowed $$10,000$ at a rate of $7\%$ and must repay it in $4$ equal installments at the end of each of the next $4$ years.$$ How much would you still owe at the end of the third year, after you have made the third payment?

a$.$ $$2,252\mathrm{.}28$

b$.$ $$2,578\mathrm{.}64$

c$.$ $$2,759\mathrm{.}14$

d$.$ $$2,952\mathrm{.}28$

e$.$ $$5,337\mathrm{.}78$