Finding the Third Proportional to 38,215.76 and 83,016.14

Step by Step Solution

1. Step 1: Write the proportion equation
   38,215.76 : 83,016.14 = 83,016.14 : x
2. Step 2: Convert to fraction form
   38,215.76/83,016.14 = 83,016.14/x
3. Step 3: Cross multiply
   38,215.76x = 83,016.14 × 83,016.14
4. Step 4: Simplify right side
   38,215.76x = 6,891,679,604.27
5. Step 5: Solve for x
   x = 6,891,679,604.27/38,215.76
6. Step 6: Final answer
   x = 180,336.07