Finding the Third Proportional to 14,409 and 21,522

Step by Step Solution

1. Step 1: Write the proportion equation
   14,409 : 21,522 = 21,522 : x
2. Step 2: Convert to fraction form
   14,409/21,522 = 21,522/x
3. Step 3: Cross multiply
   14,409x = 21,522 × 21,522
4. Step 4: Simplify right side
   14,409x = 463,196,484
5. Step 5: Solve for x
   x = 463,196,484/14,409
6. Step 6: Final answer
   x = 32,146.33