Finding the Third Proportional to 723.25 and 975.25

Step by Step Solution

1. Step 1: Write the proportion equation
   723.25 : 975.25 = 975.25 : x
2. Step 2: Convert to fraction form
   723.25/975.25 = 975.25/x
3. Step 3: Cross multiply
   723.25x = 975.25 × 975.25
4. Step 4: Simplify right side
   723.25x = 951,112.56
5. Step 5: Solve for x
   x = 951,112.56/723.25
6. Step 6: Final answer
   x = 1,315.05