Finding the Third Proportional to 14,402 and 21,540

Step by Step Solution

1. Step 1: Write the proportion equation
   14,402 : 21,540 = 21,540 : x
2. Step 2: Convert to fraction form
   14,402/21,540 = 21,540/x
3. Step 3: Cross multiply
   14,402x = 21,540 × 21,540
4. Step 4: Simplify right side
   14,402x = 463,971,600
5. Step 5: Solve for x
   x = 463,971,600/14,402
6. Step 6: Final answer
   x = 32,215.78