Finding the Third Proportional to 10,605 and 24,654

Step by Step Solution

1. Step 1: Write the proportion equation
   10,605 : 24,654 = 24,654 : x
2. Step 2: Convert to fraction form
   10,605/24,654 = 24,654/x
3. Step 3: Cross multiply
   10,605x = 24,654 × 24,654
4. Step 4: Simplify right side
   10,605x = 607,819,716
5. Step 5: Solve for x
   x = 607,819,716/10,605
6. Step 6: Final answer
   x = 57,314.45