Finding the Third Proportional to 2,856.09 and 4,413.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,856.09 : 4,413.75 = 4,413.75 : x
2. Step 2: Convert to fraction form
   2,856.09/4,413.75 = 4,413.75/x
3. Step 3: Cross multiply
   2,856.09x = 4,413.75 × 4,413.75
4. Step 4: Simplify right side
   2,856.09x = 19,481,189.06
5. Step 5: Solve for x
   x = 19,481,189.06/2,856.09
6. Step 6: Final answer
   x = 6,820.92