Finding the Third Proportional to 30,676 and 45,744

Step by Step Solution

1. Step 1: Write the proportion equation
   30,676 : 45,744 = 45,744 : x
2. Step 2: Convert to fraction form
   30,676/45,744 = 45,744/x
3. Step 3: Cross multiply
   30,676x = 45,744 × 45,744
4. Step 4: Simplify right side
   30,676x = 2,092,513,536
5. Step 5: Solve for x
   x = 2,092,513,536/30,676
6. Step 6: Final answer
   x = 68,213.38