Finding the Third Proportional to 2,830.78 and 4,162.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,830.78 : 4,162.92 = 4,162.92 : x
2. Step 2: Convert to fraction form
   2,830.78/4,162.92 = 4,162.92/x
3. Step 3: Cross multiply
   2,830.78x = 4,162.92 × 4,162.92
4. Step 4: Simplify right side
   2,830.78x = 17,329,918.54
5. Step 5: Solve for x
   x = 17,329,918.54/2,830.78
6. Step 6: Final answer
   x = 6,121.96