Finding the Third Proportional to 3,413.25 and 7,746.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,413.25 : 7,746.75 = 7,746.75 : x
2. Step 2: Convert to fraction form
   3,413.25/7,746.75 = 7,746.75/x
3. Step 3: Cross multiply
   3,413.25x = 7,746.75 × 7,746.75
4. Step 4: Simplify right side
   3,413.25x = 60,012,135.56
5. Step 5: Solve for x
   x = 60,012,135.56/3,413.25
6. Step 6: Final answer
   x = 17,582.11