Finding the Third Proportional to 5,132.53 and 7,744.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,132.53 : 7,744.78 = 7,744.78 : x
2. Step 2: Convert to fraction form
   5,132.53/7,744.78 = 7,744.78/x
3. Step 3: Cross multiply
   5,132.53x = 7,744.78 × 7,744.78
4. Step 4: Simplify right side
   5,132.53x = 59,981,636.61
5. Step 5: Solve for x
   x = 59,981,636.61/5,132.53
6. Step 6: Final answer
   x = 11,686.56