Finding the Third Proportional to 38,966.81 and 83,761.31

Step by Step Solution

1. Step 1: Write the proportion equation
   38,966.81 : 83,761.31 = 83,761.31 : x
2. Step 2: Convert to fraction form
   38,966.81/83,761.31 = 83,761.31/x
3. Step 3: Cross multiply
   38,966.81x = 83,761.31 × 83,761.31
4. Step 4: Simplify right side
   38,966.81x = 7,015,957,471.72
5. Step 5: Solve for x
   x = 7,015,957,471.72/38,966.81
6. Step 6: Final answer
   x = 180,049.56