Finding the Third Proportional to 38,469 and 86,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,469 : 86,815.50 = 86,815.50 : x
2. Step 2: Convert to fraction form
   38,469/86,815.50 = 86,815.50/x
3. Step 3: Cross multiply
   38,469x = 86,815.50 × 86,815.50
4. Step 4: Simplify right side
   38,469x = 7,536,931,040.25
5. Step 5: Solve for x
   x = 7,536,931,040.25/38,469
6. Step 6: Final answer
   x = 195,922.20