Finding the Third Proportional to 755.23 and 1,155.38

Step by Step Solution

1. Step 1: Write the proportion equation
   755.23 : 1,155.38 = 1,155.38 : x
2. Step 2: Convert to fraction form
   755.23/1,155.38 = 1,155.38/x
3. Step 3: Cross multiply
   755.23x = 1,155.38 × 1,155.38
4. Step 4: Simplify right side
   755.23x = 1,334,891.39
5. Step 5: Solve for x
   x = 1,334,891.39/755.23
6. Step 6: Final answer
   x = 1,767.54