Finding the Third Proportional to 1,158.56 and 2,413.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.56 : 2,413.13 = 2,413.13 : x
2. Step 2: Convert to fraction form
   1,158.56/2,413.13 = 2,413.13/x
3. Step 3: Cross multiply
   1,158.56x = 2,413.13 × 2,413.13
4. Step 4: Simplify right side
   1,158.56x = 5,823,172.27
5. Step 5: Solve for x
   x = 5,823,172.27/1,158.56
6. Step 6: Final answer
   x = 5,026.20