Finding the Third Proportional to 624 and 960.56

Step by Step Solution

1. Step 1: Write the proportion equation
   624 : 960.56 = 960.56 : x
2. Step 2: Convert to fraction form
   624/960.56 = 960.56/x
3. Step 3: Cross multiply
   624x = 960.56 × 960.56
4. Step 4: Simplify right side
   624x = 922,680.32
5. Step 5: Solve for x
   x = 922,680.32/624
6. Step 6: Final answer
   x = 1,478.65