Finding the Third Proportional to 811.55 and 1,746.56

Step by Step Solution

1. Step 1: Write the proportion equation
   811.55 : 1,746.56 = 1,746.56 : x
2. Step 2: Convert to fraction form
   811.55/1,746.56 = 1,746.56/x
3. Step 3: Cross multiply
   811.55x = 1,746.56 × 1,746.56
4. Step 4: Simplify right side
   811.55x = 3,050,480.57
5. Step 5: Solve for x
   x = 3,050,480.57/811.55
6. Step 6: Final answer
   x = 3,758.85