Finding the Third Proportional to 47,682 and 71,472.38

Step by Step Solution

1. Step 1: Write the proportion equation
   47,682 : 71,472.38 = 71,472.38 : x
2. Step 2: Convert to fraction form
   47,682/71,472.38 = 71,472.38/x
3. Step 3: Cross multiply
   47,682x = 71,472.38 × 71,472.38
4. Step 4: Simplify right side
   47,682x = 5,108,300,388.14
5. Step 5: Solve for x
   x = 5,108,300,388.14/47,682
6. Step 6: Final answer
   x = 107,132.68