Finding the Third Proportional to 1,298.81 and 2,413.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.81 : 2,413.69 = 2,413.69 : x
2. Step 2: Convert to fraction form
   1,298.81/2,413.69 = 2,413.69/x
3. Step 3: Cross multiply
   1,298.81x = 2,413.69 × 2,413.69
4. Step 4: Simplify right side
   1,298.81x = 5,825,887.35
5. Step 5: Solve for x
   x = 5,825,887.35/1,298.81
6. Step 6: Final answer
   x = 4,485.55