Finding the Third Proportional to 51,726 and 80,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,726 : 80,413.50 = 80,413.50 : x
2. Step 2: Convert to fraction form
   51,726/80,413.50 = 80,413.50/x
3. Step 3: Cross multiply
   51,726x = 80,413.50 × 80,413.50
4. Step 4: Simplify right side
   51,726x = 6,466,330,982.25
5. Step 5: Solve for x
   x = 6,466,330,982.25/51,726
6. Step 6: Final answer
   x = 125,011.23