Finding the Third Proportional to 16,277.50 and 24,411.75

Step by Step Solution

1. Step 1: Write the proportion equation
   16,277.50 : 24,411.75 = 24,411.75 : x
2. Step 2: Convert to fraction form
   16,277.50/24,411.75 = 24,411.75/x
3. Step 3: Cross multiply
   16,277.50x = 24,411.75 × 24,411.75
4. Step 4: Simplify right side
   16,277.50x = 595,933,538.06
5. Step 5: Solve for x
   x = 595,933,538.06/16,277.50
6. Step 6: Final answer
   x = 36,610.88