Finding the Third Proportional to 1,131.75 and 1,746.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.75 : 1,746.28 = 1,746.28 : x
2. Step 2: Convert to fraction form
   1,131.75/1,746.28 = 1,746.28/x
3. Step 3: Cross multiply
   1,131.75x = 1,746.28 × 1,746.28
4. Step 4: Simplify right side
   1,131.75x = 3,049,498.20
5. Step 5: Solve for x
   x = 3,049,498.20/1,131.75
6. Step 6: Final answer
   x = 2,694.50