Finding the Third Proportional to 1,086.75 and 1,413.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.75 : 1,413.28 = 1,413.28 : x
2. Step 2: Convert to fraction form
   1,086.75/1,413.28 = 1,413.28/x
3. Step 3: Cross multiply
   1,086.75x = 1,413.28 × 1,413.28
4. Step 4: Simplify right side
   1,086.75x = 1,997,363.89
5. Step 5: Solve for x
   x = 1,997,363.89/1,086.75
6. Step 6: Final answer
   x = 1,837.92