Finding the Third Proportional to 5,130.42 and 7,732.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,130.42 : 7,732.55 = 7,732.55 : x
2. Step 2: Convert to fraction form
   5,130.42/7,732.55 = 7,732.55/x
3. Step 3: Cross multiply
   5,130.42x = 7,732.55 × 7,732.55
4. Step 4: Simplify right side
   5,130.42x = 59,792,281.17
5. Step 5: Solve for x
   x = 59,792,281.17/5,130.42
6. Step 6: Final answer
   x = 11,654.46