Finding the Third Proportional to 4,456.69 and 6,772.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,456.69 : 6,772.78 = 6,772.78 : x
2. Step 2: Convert to fraction form
   4,456.69/6,772.78 = 6,772.78/x
3. Step 3: Cross multiply
   4,456.69x = 6,772.78 × 6,772.78
4. Step 4: Simplify right side
   4,456.69x = 45,870,565.86
5. Step 5: Solve for x
   x = 45,870,565.86/4,456.69
6. Step 6: Final answer
   x = 10,292.52