Finding the Third Proportional to 38,614 and 83,744

Step by Step Solution

1. Step 1: Write the proportion equation
   38,614 : 83,744 = 83,744 : x
2. Step 2: Convert to fraction form
   38,614/83,744 = 83,744/x
3. Step 3: Cross multiply
   38,614x = 83,744 × 83,744
4. Step 4: Simplify right side
   38,614x = 7,013,057,536
5. Step 5: Solve for x
   x = 7,013,057,536/38,614
6. Step 6: Final answer
   x = 181,619.56