Finding the Third Proportional to 14,654 and 22,676

Step by Step Solution

1. Step 1: Write the proportion equation
   14,654 : 22,676 = 22,676 : x
2. Step 2: Convert to fraction form
   14,654/22,676 = 22,676/x
3. Step 3: Cross multiply
   14,654x = 22,676 × 22,676
4. Step 4: Simplify right side
   14,654x = 514,200,976
5. Step 5: Solve for x
   x = 514,200,976/14,654
6. Step 6: Final answer
   x = 35,089.46