Finding the Third Proportional to 12,532.50 and 22,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,532.50 : 22,277.50 = 22,277.50 : x
2. Step 2: Convert to fraction form
   12,532.50/22,277.50 = 22,277.50/x
3. Step 3: Cross multiply
   12,532.50x = 22,277.50 × 22,277.50
4. Step 4: Simplify right side
   12,532.50x = 496,287,006.25
5. Step 5: Solve for x
   x = 496,287,006.25/12,532.50
6. Step 6: Final answer
   x = 39,600.00