The discussion revolves around solving the equation where a number is divided by three-quarters of itself, and the resulting quotient is multiplied by half of the original number to equal 64. By letting x represent the original number, the calculations show that x equals 96. Consequently, three-quarters of this number is calculated to be 72. Participants seek a more polished solution to the problem, with one providing a clearer mathematical representation of the steps involved. The final answer confirms that 3/4 of the original number is 72.