Finding the Third Proportional to 10,945 and 16,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,945 : 16,413.50 = 16,413.50 : x
2. Step 2: Convert to fraction form
   10,945/16,413.50 = 16,413.50/x
3. Step 3: Cross multiply
   10,945x = 16,413.50 × 16,413.50
4. Step 4: Simplify right side
   10,945x = 269,402,982.25
5. Step 5: Solve for x
   x = 269,402,982.25/10,945
6. Step 6: Final answer
   x = 24,614.25