Finding the Third Proportional to 3,413.81 and 5,104.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,413.81 : 5,104.69 = 5,104.69 : x
2. Step 2: Convert to fraction form
   3,413.81/5,104.69 = 5,104.69/x
3. Step 3: Cross multiply
   3,413.81x = 5,104.69 × 5,104.69
4. Step 4: Simplify right side
   3,413.81x = 26,057,834.47
5. Step 5: Solve for x
   x = 26,057,834.47/3,413.81
6. Step 6: Final answer
   x = 7,633.06