Finding the Third Proportional to 1,413.42 and 2,184.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.42 : 2,184.19 = 2,184.19 : x
2. Step 2: Convert to fraction form
   1,413.42/2,184.19 = 2,184.19/x
3. Step 3: Cross multiply
   1,413.42x = 2,184.19 × 2,184.19
4. Step 4: Simplify right side
   1,413.42x = 4,770,675.04
5. Step 5: Solve for x
   x = 4,770,675.04/1,413.42
6. Step 6: Final answer
   x = 3,375.27