Finding the Third Proportional to 6,810.25 and 10,413.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,810.25 : 10,413.25 = 10,413.25 : x
2. Step 2: Convert to fraction form
   6,810.25/10,413.25 = 10,413.25/x
3. Step 3: Cross multiply
   6,810.25x = 10,413.25 × 10,413.25
4. Step 4: Simplify right side
   6,810.25x = 108,435,775.56
5. Step 5: Solve for x
   x = 108,435,775.56/6,810.25
6. Step 6: Final answer
   x = 15,922.44