Finding the Third Proportional to 38,241 and 82,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,241 : 82,016.25 = 82,016.25 : x
2. Step 2: Convert to fraction form
   38,241/82,016.25 = 82,016.25/x
3. Step 3: Cross multiply
   38,241x = 82,016.25 × 82,016.25
4. Step 4: Simplify right side
   38,241x = 6,726,665,264.06
5. Step 5: Solve for x
   x = 6,726,665,264.06/38,241
6. Step 6: Final answer
   x = 175,901.92