Finding the Third Proportional to 626.94 and 975.31

Step by Step Solution

1. Step 1: Write the proportion equation
   626.94 : 975.31 = 975.31 : x
2. Step 2: Convert to fraction form
   626.94/975.31 = 975.31/x
3. Step 3: Cross multiply
   626.94x = 975.31 × 975.31
4. Step 4: Simplify right side
   626.94x = 951,234.47
5. Step 5: Solve for x
   x = 951,234.47/626.94
6. Step 6: Final answer
   x = 1,517.27