Finding the Third Proportional to 600.75 and 962.72

Step by Step Solution

1. Step 1: Write the proportion equation
   600.75 : 962.72 = 962.72 : x
2. Step 2: Convert to fraction form
   600.75/962.72 = 962.72/x
3. Step 3: Cross multiply
   600.75x = 962.72 × 962.72
4. Step 4: Simplify right side
   600.75x = 926,827.39
5. Step 5: Solve for x
   x = 926,827.39/600.75
6. Step 6: Final answer
   x = 1,542.78