Finding the Third Proportional to 14,123 and 20,654

Step by Step Solution

1. Step 1: Write the proportion equation
   14,123 : 20,654 = 20,654 : x
2. Step 2: Convert to fraction form
   14,123/20,654 = 20,654/x
3. Step 3: Cross multiply
   14,123x = 20,654 × 20,654
4. Step 4: Simplify right side
   14,123x = 426,587,716
5. Step 5: Solve for x
   x = 426,587,716/14,123
6. Step 6: Final answer
   x = 30,205.18