Finding the Third Proportional to 30,674 and 71,681

Step by Step Solution

1. Step 1: Write the proportion equation
   30,674 : 71,681 = 71,681 : x
2. Step 2: Convert to fraction form
   30,674/71,681 = 71,681/x
3. Step 3: Cross multiply
   30,674x = 71,681 × 71,681
4. Step 4: Simplify right side
   30,674x = 5,138,165,761
5. Step 5: Solve for x
   x = 5,138,165,761/30,674
6. Step 6: Final answer
   x = 167,508.83