Finding the Third Proportional to 2,821.78 and 4,366.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,821.78 : 4,366.69 = 4,366.69 : x
2. Step 2: Convert to fraction form
   2,821.78/4,366.69 = 4,366.69/x
3. Step 3: Cross multiply
   2,821.78x = 4,366.69 × 4,366.69
4. Step 4: Simplify right side
   2,821.78x = 19,067,959.72
5. Step 5: Solve for x
   x = 19,067,959.72/2,821.78
6. Step 6: Final answer
   x = 6,757.42