Finding the Third Proportional to 38,338.31 and 82,144.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,338.31 : 82,144.13 = 82,144.13 : x
2. Step 2: Convert to fraction form
   38,338.31/82,144.13 = 82,144.13/x
3. Step 3: Cross multiply
   38,338.31x = 82,144.13 × 82,144.13
4. Step 4: Simplify right side
   38,338.31x = 6,747,657,272.02
5. Step 5: Solve for x
   x = 6,747,657,272.02/38,338.31
6. Step 6: Final answer
   x = 176,002.98