Finding the Third Proportional to 2,851.31 and 4,007.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,851.31 : 4,007.81 = 4,007.81 : x
2. Step 2: Convert to fraction form
   2,851.31/4,007.81 = 4,007.81/x
3. Step 3: Cross multiply
   2,851.31x = 4,007.81 × 4,007.81
4. Step 4: Simplify right side
   2,851.31x = 16,062,561.04
5. Step 5: Solve for x
   x = 16,062,561.04/2,851.31
6. Step 6: Final answer
   x = 5,633.39