Finding the Third Proportional to 3,413.81 and 7,014.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,413.81 : 7,014.09 = 7,014.09 : x
2. Step 2: Convert to fraction form
   3,413.81/7,014.09 = 7,014.09/x
3. Step 3: Cross multiply
   3,413.81x = 7,014.09 × 7,014.09
4. Step 4: Simplify right side
   3,413.81x = 49,197,511.13
5. Step 5: Solve for x
   x = 49,197,511.13/3,413.81
6. Step 6: Final answer
   x = 14,411.31