Finding the Third Proportional to 647.72 and 974.53

Step by Step Solution

1. Step 1: Write the proportion equation
   647.72 : 974.53 = 974.53 : x
2. Step 2: Convert to fraction form
   647.72/974.53 = 974.53/x
3. Step 3: Cross multiply
   647.72x = 974.53 × 974.53
4. Step 4: Simplify right side
   647.72x = 949,711.16
5. Step 5: Solve for x
   x = 949,711.16/647.72
6. Step 6: Final answer
   x = 1,466.24