Finding the Third Proportional to 11,149 and 24,025

Step by Step Solution

1. Step 1: Write the proportion equation
   11,149 : 24,025 = 24,025 : x
2. Step 2: Convert to fraction form
   11,149/24,025 = 24,025/x
3. Step 3: Cross multiply
   11,149x = 24,025 × 24,025
4. Step 4: Simplify right side
   11,149x = 577,200,625
5. Step 5: Solve for x
   x = 577,200,625/11,149
6. Step 6: Final answer
   x = 51,771.52