Finding the Third Proportional to 1,086.75 and 1,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.75 : 1,728.50 = 1,728.50 : x
2. Step 2: Convert to fraction form
   1,086.75/1,728.50 = 1,728.50/x
3. Step 3: Cross multiply
   1,086.75x = 1,728.50 × 1,728.50
4. Step 4: Simplify right side
   1,086.75x = 2,987,712.25
5. Step 5: Solve for x
   x = 2,987,712.25/1,086.75
6. Step 6: Final answer
   x = 2,749.22