Finding the Third Proportional to 864 and 1,151.72

Step by Step Solution

1. Step 1: Write the proportion equation
   864 : 1,151.72 = 1,151.72 : x
2. Step 2: Convert to fraction form
   864/1,151.72 = 1,151.72/x
3. Step 3: Cross multiply
   864x = 1,151.72 × 1,151.72
4. Step 4: Simplify right side
   864x = 1,326,456.08
5. Step 5: Solve for x
   x = 1,326,456.08/864
6. Step 6: Final answer
   x = 1,535.25