Finding the Third Proportional to 5,658.50 and 9,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,658.50 : 9,429.50 = 9,429.50 : x
2. Step 2: Convert to fraction form
   5,658.50/9,429.50 = 9,429.50/x
3. Step 3: Cross multiply
   5,658.50x = 9,429.50 × 9,429.50
4. Step 4: Simplify right side
   5,658.50x = 88,915,470.25
5. Step 5: Solve for x
   x = 88,915,470.25/5,658.50
6. Step 6: Final answer
   x = 15,713.61