Finding the Third Proportional to 2,524.50 and 5,452.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524.50 : 5,452.31 = 5,452.31 : x
2. Step 2: Convert to fraction form
   2,524.50/5,452.31 = 5,452.31/x
3. Step 3: Cross multiply
   2,524.50x = 5,452.31 × 5,452.31
4. Step 4: Simplify right side
   2,524.50x = 29,727,711.60
5. Step 5: Solve for x
   x = 29,727,711.60/2,524.50
6. Step 6: Final answer
   x = 11,775.68