Finding the Third Proportional to 2,863.69 and 4,268.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,863.69 : 4,268.53 = 4,268.53 : x
2. Step 2: Convert to fraction form
   2,863.69/4,268.53 = 4,268.53/x
3. Step 3: Cross multiply
   2,863.69x = 4,268.53 × 4,268.53
4. Step 4: Simplify right side
   2,863.69x = 18,220,359.03
5. Step 5: Solve for x
   x = 18,220,359.03/2,863.69
6. Step 6: Final answer
   x = 6,362.55