Finding the Third Proportional to 14,080 and 21,496

Step by Step Solution

1. Step 1: Write the proportion equation
   14,080 : 21,496 = 21,496 : x
2. Step 2: Convert to fraction form
   14,080/21,496 = 21,496/x
3. Step 3: Cross multiply
   14,080x = 21,496 × 21,496
4. Step 4: Simplify right side
   14,080x = 462,078,016
5. Step 5: Solve for x
   x = 462,078,016/14,080
6. Step 6: Final answer
   x = 32,818.04