Finding the Third Proportional to 10,771.31 and 16,552.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,771.31 : 16,552.69 = 16,552.69 : x
2. Step 2: Convert to fraction form
   10,771.31/16,552.69 = 16,552.69/x
3. Step 3: Cross multiply
   10,771.31x = 16,552.69 × 16,552.69
4. Step 4: Simplify right side
   10,771.31x = 273,991,463.47
5. Step 5: Solve for x
   x = 273,991,463.47/10,771.31
6. Step 6: Final answer
   x = 25,437.15