Finding the Third Proportional to 14,499 and 21,322

Step by Step Solution

1. Step 1: Write the proportion equation
   14,499 : 21,322 = 21,322 : x
2. Step 2: Convert to fraction form
   14,499/21,322 = 21,322/x
3. Step 3: Cross multiply
   14,499x = 21,322 × 21,322
4. Step 4: Simplify right side
   14,499x = 454,627,684
5. Step 5: Solve for x
   x = 454,627,684/14,499
6. Step 6: Final answer
   x = 31,355.80