Finding the Third Proportional to 17,676 and 38,390

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 38,390 = 38,390 : x
2. Step 2: Convert to fraction form
   17,676/38,390 = 38,390/x
3. Step 3: Cross multiply
   17,676x = 38,390 × 38,390
4. Step 4: Simplify right side
   17,676x = 1,473,792,100
5. Step 5: Solve for x
   x = 1,473,792,100/17,676
6. Step 6: Final answer
   x = 83,378.15