Finding the Third Proportional to 1,728.69 and 2,581.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,728.69 : 2,581.75 = 2,581.75 : x
2. Step 2: Convert to fraction form
   1,728.69/2,581.75 = 2,581.75/x
3. Step 3: Cross multiply
   1,728.69x = 2,581.75 × 2,581.75
4. Step 4: Simplify right side
   1,728.69x = 6,665,433.06
5. Step 5: Solve for x
   x = 6,665,433.06/1,728.69
6. Step 6: Final answer
   x = 3,855.78