Finding the Third Proportional to 14,569 and 31,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,569 : 31,215.50 = 31,215.50 : x
2. Step 2: Convert to fraction form
   14,569/31,215.50 = 31,215.50/x
3. Step 3: Cross multiply
   14,569x = 31,215.50 × 31,215.50
4. Step 4: Simplify right side
   14,569x = 974,407,440.25
5. Step 5: Solve for x
   x = 974,407,440.25/14,569
6. Step 6: Final answer
   x = 66,882.25