Finding the Third Proportional to 5,118.75 and 8,413.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,118.75 : 8,413.31 = 8,413.31 : x
2. Step 2: Convert to fraction form
   5,118.75/8,413.31 = 8,413.31/x
3. Step 3: Cross multiply
   5,118.75x = 8,413.31 × 8,413.31
4. Step 4: Simplify right side
   5,118.75x = 70,783,827.22
5. Step 5: Solve for x
   x = 70,783,827.22/5,118.75
6. Step 6: Final answer
   x = 13,828.34