Finding the Third Proportional to 2,019.09 and 4,413.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.09 : 4,413.23 = 4,413.23 : x
2. Step 2: Convert to fraction form
   2,019.09/4,413.23 = 4,413.23/x
3. Step 3: Cross multiply
   2,019.09x = 4,413.23 × 4,413.23
4. Step 4: Simplify right side
   2,019.09x = 19,476,637.65
5. Step 5: Solve for x
   x = 19,476,637.65/2,019.09
6. Step 6: Final answer
   x = 9,646.23