Finding the Third Proportional to 38,270.25 and 82,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,270.25 : 82,399.50 = 82,399.50 : x
2. Step 2: Convert to fraction form
   38,270.25/82,399.50 = 82,399.50/x
3. Step 3: Cross multiply
   38,270.25x = 82,399.50 × 82,399.50
4. Step 4: Simplify right side
   38,270.25x = 6,789,677,600.25
5. Step 5: Solve for x
   x = 6,789,677,600.25/38,270.25
6. Step 6: Final answer
   x = 177,413.99