Finding the Third Proportional to 14,408 and 21,520

Step by Step Solution

1. Step 1: Write the proportion equation
   14,408 : 21,520 = 21,520 : x
2. Step 2: Convert to fraction form
   14,408/21,520 = 21,520/x
3. Step 3: Cross multiply
   14,408x = 21,520 × 21,520
4. Step 4: Simplify right side
   14,408x = 463,110,400
5. Step 5: Solve for x
   x = 463,110,400/14,408
6. Step 6: Final answer
   x = 32,142.59