$[$Ch $6]$ Jim Leady purchased a lot in Bertrand Township, MI $($just north of the state line$)$ for $$68,000$ that he planned to build a house on$.$ To pay for the purchase, he made a cash down payment equal to $25\%$ of the purchase price and mortgaged the balance through Notre Dame Federal Credit Union. NDFCU offered him a $15-$year mortgage with monthly payments at an APR of $5\mathrm{.}05\%$ compounded monthly. However, since the lot mortgage was expected to later be rolled into a larger home construction bridge loan, the lot mortgage included a balloon payment provision $($click hyperlink for Consumer Financial Protection Bureau's definition$)$ that required Jim to pay off the remaining balance after $3$ years. How much will Jim's balloon payment be at the end of three years? The balloon payment is separate from the $36$th monthly payment made at the end of the third year.

$($to nearest $$0\mathrm{.}01)$