Finding the Third Proportional to 14,301 and 21,654

Step by Step Solution

1. Step 1: Write the proportion equation
   14,301 : 21,654 = 21,654 : x
2. Step 2: Convert to fraction form
   14,301/21,654 = 21,654/x
3. Step 3: Cross multiply
   14,301x = 21,654 × 21,654
4. Step 4: Simplify right side
   14,301x = 468,895,716
5. Step 5: Solve for x
   x = 468,895,716/14,301
6. Step 6: Final answer
   x = 32,787.62