Finding the Third Proportional to 1,140.75 and 1,765.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,140.75 : 1,765.55 = 1,765.55 : x
2. Step 2: Convert to fraction form
   1,140.75/1,765.55 = 1,765.55/x
3. Step 3: Cross multiply
   1,140.75x = 1,765.55 × 1,765.55
4. Step 4: Simplify right side
   1,140.75x = 3,117,155.77
5. Step 5: Solve for x
   x = 3,117,155.77/1,140.75
6. Step 6: Final answer
   x = 2,732.55