Finding the Third Proportional to 646.88 and 1,413.56

Step by Step Solution

1. Step 1: Write the proportion equation
   646.88 : 1,413.56 = 1,413.56 : x
2. Step 2: Convert to fraction form
   646.88/1,413.56 = 1,413.56/x
3. Step 3: Cross multiply
   646.88x = 1,413.56 × 1,413.56
4. Step 4: Simplify right side
   646.88x = 1,998,158.94
5. Step 5: Solve for x
   x = 1,998,158.94/646.88
6. Step 6: Final answer
   x = 3,088.94