Finding the Third Proportional to 10,872 and 23,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,872 : 23,413.50 = 23,413.50 : x
2. Step 2: Convert to fraction form
   10,872/23,413.50 = 23,413.50/x
3. Step 3: Cross multiply
   10,872x = 23,413.50 × 23,413.50
4. Step 4: Simplify right side
   10,872x = 548,191,982.25
5. Step 5: Solve for x
   x = 548,191,982.25/10,872
6. Step 6: Final answer
   x = 50,422.37