Finding the Third Proportional to 665.72 and 1,007.72

Step by Step Solution

1. Step 1: Write the proportion equation
   665.72 : 1,007.72 = 1,007.72 : x
2. Step 2: Convert to fraction form
   665.72/1,007.72 = 1,007.72/x
3. Step 3: Cross multiply
   665.72x = 1,007.72 × 1,007.72
4. Step 4: Simplify right side
   665.72x = 1,015,497.08
5. Step 5: Solve for x
   x = 1,015,497.08/665.72
6. Step 6: Final answer
   x = 1,525.41