Finding the Third Proportional to 647.38 and 1,025.56

Step by Step Solution

1. Step 1: Write the proportion equation
   647.38 : 1,025.56 = 1,025.56 : x
2. Step 2: Convert to fraction form
   647.38/1,025.56 = 1,025.56/x
3. Step 3: Cross multiply
   647.38x = 1,025.56 × 1,025.56
4. Step 4: Simplify right side
   647.38x = 1,051,778.44
5. Step 5: Solve for x
   x = 1,051,778.44/647.38
6. Step 6: Final answer
   x = 1,624.68