Finding the Third Proportional to 3,746.25 and 5,752.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,746.25 : 5,752.69 = 5,752.69 : x
2. Step 2: Convert to fraction form
   3,746.25/5,752.69 = 5,752.69/x
3. Step 3: Cross multiply
   3,746.25x = 5,752.69 × 5,752.69
4. Step 4: Simplify right side
   3,746.25x = 33,093,413.47
5. Step 5: Solve for x
   x = 33,093,413.47/3,746.25
6. Step 6: Final answer
   x = 8,833.74