Finding the Third Proportional to 2,728.69 and 4,187.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,728.69 : 4,187.53 = 4,187.53 : x
2. Step 2: Convert to fraction form
   2,728.69/4,187.53 = 4,187.53/x
3. Step 3: Cross multiply
   2,728.69x = 4,187.53 × 4,187.53
4. Step 4: Simplify right side
   2,728.69x = 17,535,417.97
5. Step 5: Solve for x
   x = 17,535,417.97/2,728.69
6. Step 6: Final answer
   x = 6,426.32