Finding the Third Proportional to 30,676 and 71,686

Step by Step Solution

1. Step 1: Write the proportion equation
   30,676 : 71,686 = 71,686 : x
2. Step 2: Convert to fraction form
   30,676/71,686 = 71,686/x
3. Step 3: Cross multiply
   30,676x = 71,686 × 71,686
4. Step 4: Simplify right side
   30,676x = 5,138,882,596
5. Step 5: Solve for x
   x = 5,138,882,596/30,676
6. Step 6: Final answer
   x = 167,521.27