Finding the Third Proportional to 1,558.69 and 2,413.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,558.69 : 2,413.69 = 2,413.69 : x
2. Step 2: Convert to fraction form
   1,558.69/2,413.69 = 2,413.69/x
3. Step 3: Cross multiply
   1,558.69x = 2,413.69 × 2,413.69
4. Step 4: Simplify right side
   1,558.69x = 5,825,887.35
5. Step 5: Solve for x
   x = 5,825,887.35/1,558.69
6. Step 6: Final answer
   x = 3,737.69