Finding the Third Proportional to 17,670 and 24,762

Step by Step Solution

1. Step 1: Write the proportion equation
   17,670 : 24,762 = 24,762 : x
2. Step 2: Convert to fraction form
   17,670/24,762 = 24,762/x
3. Step 3: Cross multiply
   17,670x = 24,762 × 24,762
4. Step 4: Simplify right side
   17,670x = 613,156,644
5. Step 5: Solve for x
   x = 613,156,644/17,670
6. Step 6: Final answer
   x = 34,700.43