The semiannual tuition payment at a major university is expected to be $$36,000$ for the $4$ years beginning $18$ years from now. What lump sum payment should the university accept now, in lieu of tuition payments beginning $18$ years, $6$ months from now? Assume that money is worth $5\%,$ compounded semiannually, and that tuition is paid at the end of each half$-$year for $4$ years. $($Round your answer to the nearest cent.$)$

$