Finding the Third Proportional to 14,527.50 and 31,829.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,527.50 : 31,829.25 = 31,829.25 : x
2. Step 2: Convert to fraction form
   14,527.50/31,829.25 = 31,829.25/x
3. Step 3: Cross multiply
   14,527.50x = 31,829.25 × 31,829.25
4. Step 4: Simplify right side
   14,527.50x = 1,013,101,155.56
5. Step 5: Solve for x
   x = 1,013,101,155.56/14,527.50
6. Step 6: Final answer
   x = 69,736.79