You are looking to purchase a Tesla Model X sport utility vehicle. The price of the vehicle is $$97,250.$ You negotiate a six$-$year loan, with no money down and no monthly payments during the first year. After the first year, you will pay $$1,675$ per month for the following five years, with a balloon payment at the end to cover the remaining principal on the loan. The APR on the loan with monthly compounding is $5\mathrm{.}8$ percent. What will be the amount of the balloon payment six years from now?

Note: Do not round monthly interest rate calculation. Round intermediate value calculation and final answer to $2$ decimal places.