Finding the Third Proportional to 16,562 and 24,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,562 : 24,617.50 = 24,617.50 : x
2. Step 2: Convert to fraction form
   16,562/24,617.50 = 24,617.50/x
3. Step 3: Cross multiply
   16,562x = 24,617.50 × 24,617.50
4. Step 4: Simplify right side
   16,562x = 606,021,306.25
5. Step 5: Solve for x
   x = 606,021,306.25/16,562
6. Step 6: Final answer
   x = 36,591.07