Finding the Third Proportional to 3,505.78 and 4,825.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,505.78 : 4,825.83 = 4,825.83 : x
2. Step 2: Convert to fraction form
   3,505.78/4,825.83 = 4,825.83/x
3. Step 3: Cross multiply
   3,505.78x = 4,825.83 × 4,825.83
4. Step 4: Simplify right side
   3,505.78x = 23,288,617.09
5. Step 5: Solve for x
   x = 23,288,617.09/3,505.78
6. Step 6: Final answer
   x = 6,642.92