Finding the Third Proportional to 3,648 and 8,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648 : 8,413.50 = 8,413.50 : x
2. Step 2: Convert to fraction form
   3,648/8,413.50 = 8,413.50/x
3. Step 3: Cross multiply
   3,648x = 8,413.50 × 8,413.50
4. Step 4: Simplify right side
   3,648x = 70,786,982.25
5. Step 5: Solve for x
   x = 70,786,982.25/3,648
6. Step 6: Final answer
   x = 19,404.33