Finding the Third Proportional to 2,165.81 and 3,268.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.81 : 3,268.31 = 3,268.31 : x
2. Step 2: Convert to fraction form
   2,165.81/3,268.31 = 3,268.31/x
3. Step 3: Cross multiply
   2,165.81x = 3,268.31 × 3,268.31
4. Step 4: Simplify right side
   2,165.81x = 10,681,866.60
5. Step 5: Solve for x
   x = 10,681,866.60/2,165.81
6. Step 6: Final answer
   x = 4,932.04