Finding the Third Proportional to 14,498 and 31,732

Step by Step Solution

1. Step 1: Write the proportion equation
   14,498 : 31,732 = 31,732 : x
2. Step 2: Convert to fraction form
   14,498/31,732 = 31,732/x
3. Step 3: Cross multiply
   14,498x = 31,732 × 31,732
4. Step 4: Simplify right side
   14,498x = 1,006,919,824
5. Step 5: Solve for x
   x = 1,006,919,824/14,498
6. Step 6: Final answer
   x = 69,452.33