Finding the Third Proportional to 2,533.36 and 4,007.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.36 : 4,007.81 = 4,007.81 : x
2. Step 2: Convert to fraction form
   2,533.36/4,007.81 = 4,007.81/x
3. Step 3: Cross multiply
   2,533.36x = 4,007.81 × 4,007.81
4. Step 4: Simplify right side
   2,533.36x = 16,062,561.04
5. Step 5: Solve for x
   x = 16,062,561.04/2,533.36
6. Step 6: Final answer
   x = 6,340.42