Finding the Third Proportional to 6,952.50 and 10,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,952.50 : 10,057.50 = 10,057.50 : x
2. Step 2: Convert to fraction form
   6,952.50/10,057.50 = 10,057.50/x
3. Step 3: Cross multiply
   6,952.50x = 10,057.50 × 10,057.50
4. Step 4: Simplify right side
   6,952.50x = 101,153,306.25
5. Step 5: Solve for x
   x = 101,153,306.25/6,952.50
6. Step 6: Final answer
   x = 14,549.20