Finding the Third Proportional to 14,384 and 31,524

Step by Step Solution

1. Step 1: Write the proportion equation
   14,384 : 31,524 = 31,524 : x
2. Step 2: Convert to fraction form
   14,384/31,524 = 31,524/x
3. Step 3: Cross multiply
   14,384x = 31,524 × 31,524
4. Step 4: Simplify right side
   14,384x = 993,762,576
5. Step 5: Solve for x
   x = 993,762,576/14,384
6. Step 6: Final answer
   x = 69,088.05