Finding the Third Proportional to 14,265 and 21,398

Step by Step Solution

1. Step 1: Write the proportion equation
   14,265 : 21,398 = 21,398 : x
2. Step 2: Convert to fraction form
   14,265/21,398 = 21,398/x
3. Step 3: Cross multiply
   14,265x = 21,398 × 21,398
4. Step 4: Simplify right side
   14,265x = 457,874,404
5. Step 5: Solve for x
   x = 457,874,404/14,265
6. Step 6: Final answer
   x = 32,097.75