Finding the Third Proportional to 647.72 and 1,000.27

Step by Step Solution

1. Step 1: Write the proportion equation
   647.72 : 1,000.27 = 1,000.27 : x
2. Step 2: Convert to fraction form
   647.72/1,000.27 = 1,000.27/x
3. Step 3: Cross multiply
   647.72x = 1,000.27 × 1,000.27
4. Step 4: Simplify right side
   647.72x = 1,000,531.32
5. Step 5: Solve for x
   x = 1,000,531.32/647.72
6. Step 6: Final answer
   x = 1,544.70