Finding the Third Proportional to 3,413.81 and 7,457.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,413.81 : 7,457.06 = 7,457.06 : x
2. Step 2: Convert to fraction form
   3,413.81/7,457.06 = 7,457.06/x
3. Step 3: Cross multiply
   3,413.81x = 7,457.06 × 7,457.06
4. Step 4: Simplify right side
   3,413.81x = 55,607,781.13
5. Step 5: Solve for x
   x = 55,607,781.13/3,413.81
6. Step 6: Final answer
   x = 16,289.06