Finding the Third Proportional to 9,413.63 and 20,078.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.63 : 20,078.25 = 20,078.25 : x
2. Step 2: Convert to fraction form
   9,413.63/20,078.25 = 20,078.25/x
3. Step 3: Cross multiply
   9,413.63x = 20,078.25 × 20,078.25
4. Step 4: Simplify right side
   9,413.63x = 403,136,123.06
5. Step 5: Solve for x
   x = 403,136,123.06/9,413.63
6. Step 6: Final answer
   x = 42,824.75