Finding the Third Proportional to 864 and 1,155.38

Step by Step Solution

1. Step 1: Write the proportion equation
   864 : 1,155.38 = 1,155.38 : x
2. Step 2: Convert to fraction form
   864/1,155.38 = 1,155.38/x
3. Step 3: Cross multiply
   864x = 1,155.38 × 1,155.38
4. Step 4: Simplify right side
   864x = 1,334,891.39
5. Step 5: Solve for x
   x = 1,334,891.39/864
6. Step 6: Final answer
   x = 1,545.01