Finding the Third Proportional to 641.25 and 1,413.28

Step by Step Solution

1. Step 1: Write the proportion equation
   641.25 : 1,413.28 = 1,413.28 : x
2. Step 2: Convert to fraction form
   641.25/1,413.28 = 1,413.28/x
3. Step 3: Cross multiply
   641.25x = 1,413.28 × 1,413.28
4. Step 4: Simplify right side
   641.25x = 1,997,363.89
5. Step 5: Solve for x
   x = 1,997,363.89/641.25
6. Step 6: Final answer
   x = 3,114.80