Finding the Third Proportional to 17,676 and 38,508

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 38,508 = 38,508 : x
2. Step 2: Convert to fraction form
   17,676/38,508 = 38,508/x
3. Step 3: Cross multiply
   17,676x = 38,508 × 38,508
4. Step 4: Simplify right side
   17,676x = 1,482,866,064
5. Step 5: Solve for x
   x = 1,482,866,064/17,676
6. Step 6: Final answer
   x = 83,891.49