Finding the Third Proportional to 1,413.12 and 3,069.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.12 : 3,069.42 = 3,069.42 : x
2. Step 2: Convert to fraction form
   1,413.12/3,069.42 = 3,069.42/x
3. Step 3: Cross multiply
   1,413.12x = 3,069.42 × 3,069.42
4. Step 4: Simplify right side
   1,413.12x = 9,421,350.65
5. Step 5: Solve for x
   x = 9,421,350.65/1,413.12
6. Step 6: Final answer
   x = 6,667.07