Finding the Third Proportional to 20,120 and 31,524

Step by Step Solution

1. Step 1: Write the proportion equation
   20,120 : 31,524 = 31,524 : x
2. Step 2: Convert to fraction form
   20,120/31,524 = 31,524/x
3. Step 3: Cross multiply
   20,120x = 31,524 × 31,524
4. Step 4: Simplify right side
   20,120x = 993,762,576
5. Step 5: Solve for x
   x = 993,762,576/20,120
6. Step 6: Final answer
   x = 49,391.78