Finding the Third Proportional to 5,413.50 and 10,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,413.50 : 10,273.50 = 10,273.50 : x
2. Step 2: Convert to fraction form
   5,413.50/10,273.50 = 10,273.50/x
3. Step 3: Cross multiply
   5,413.50x = 10,273.50 × 10,273.50
4. Step 4: Simplify right side
   5,413.50x = 105,544,802.25
5. Step 5: Solve for x
   x = 105,544,802.25/5,413.50
6. Step 6: Final answer
   x = 19,496.59