Finding the Third Proportional to 626.25 and 962.86

Step by Step Solution

1. Step 1: Write the proportion equation
   626.25 : 962.86 = 962.86 : x
2. Step 2: Convert to fraction form
   626.25/962.86 = 962.86/x
3. Step 3: Cross multiply
   626.25x = 962.86 × 962.86
4. Step 4: Simplify right side
   626.25x = 927,106.64
5. Step 5: Solve for x
   x = 927,106.64/626.25
6. Step 6: Final answer
   x = 1,480.42