Finding the Third Proportional to 631.50 and 975.25

Step by Step Solution

1. Step 1: Write the proportion equation
   631.50 : 975.25 = 975.25 : x
2. Step 2: Convert to fraction form
   631.50/975.25 = 975.25/x
3. Step 3: Cross multiply
   631.50x = 975.25 × 975.25
4. Step 4: Simplify right side
   631.50x = 951,112.56
5. Step 5: Solve for x
   x = 951,112.56/631.50
6. Step 6: Final answer
   x = 1,506.12