Finding the Third Proportional to 38,306.50 and 89,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,306.50 : 89,016.50 = 89,016.50 : x
2. Step 2: Convert to fraction form
   38,306.50/89,016.50 = 89,016.50/x
3. Step 3: Cross multiply
   38,306.50x = 89,016.50 × 89,016.50
4. Step 4: Simplify right side
   38,306.50x = 7,923,937,272.25
5. Step 5: Solve for x
   x = 7,923,937,272.25/38,306.50
6. Step 6: Final answer
   x = 206,856.21