Finding the Third Proportional to 1,413.56 and 2,862.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.56 : 2,862.56 = 2,862.56 : x
2. Step 2: Convert to fraction form
   1,413.56/2,862.56 = 2,862.56/x
3. Step 3: Cross multiply
   1,413.56x = 2,862.56 × 2,862.56
4. Step 4: Simplify right side
   1,413.56x = 8,194,264.07
5. Step 5: Solve for x
   x = 8,194,264.07/1,413.56
6. Step 6: Final answer
   x = 5,796.89