Finding the Third Proportional to 17,680 and 24,782

Step by Step Solution

1. Step 1: Write the proportion equation
   17,680 : 24,782 = 24,782 : x
2. Step 2: Convert to fraction form
   17,680/24,782 = 24,782/x
3. Step 3: Cross multiply
   17,680x = 24,782 × 24,782
4. Step 4: Simplify right side
   17,680x = 614,147,524
5. Step 5: Solve for x
   x = 614,147,524/17,680
6. Step 6: Final answer
   x = 34,736.85