Finding the Third Proportional to 9,413.75 and 20,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.75 : 20,078.50 = 20,078.50 : x
2. Step 2: Convert to fraction form
   9,413.75/20,078.50 = 20,078.50/x
3. Step 3: Cross multiply
   9,413.75x = 20,078.50 × 20,078.50
4. Step 4: Simplify right side
   9,413.75x = 403,146,162.25
5. Step 5: Solve for x
   x = 403,146,162.25/9,413.75
6. Step 6: Final answer
   x = 42,825.25