Finding the Third Proportional to 755.61 and 1,155.78

Step by Step Solution

1. Step 1: Write the proportion equation
   755.61 : 1,155.78 = 1,155.78 : x
2. Step 2: Convert to fraction form
   755.61/1,155.78 = 1,155.78/x
3. Step 3: Cross multiply
   755.61x = 1,155.78 × 1,155.78
4. Step 4: Simplify right side
   755.61x = 1,335,825.78
5. Step 5: Solve for x
   x = 1,335,825.78/755.61
6. Step 6: Final answer
   x = 1,767.87