Finding the Third Proportional to 4,745 and 10,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,745 : 10,413.50 = 10,413.50 : x
2. Step 2: Convert to fraction form
   4,745/10,413.50 = 10,413.50/x
3. Step 3: Cross multiply
   4,745x = 10,413.50 × 10,413.50
4. Step 4: Simplify right side
   4,745x = 108,440,982.25
5. Step 5: Solve for x
   x = 108,440,982.25/4,745
6. Step 6: Final answer
   x = 22,853.74