Finding the Third Proportional to 2,189.25 and 3,413.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.25 : 3,413.25 = 3,413.25 : x
2. Step 2: Convert to fraction form
   2,189.25/3,413.25 = 3,413.25/x
3. Step 3: Cross multiply
   2,189.25x = 3,413.25 × 3,413.25
4. Step 4: Simplify right side
   2,189.25x = 11,650,275.56
5. Step 5: Solve for x
   x = 11,650,275.56/2,189.25
6. Step 6: Final answer
   x = 5,321.58