Finding the Third Proportional to 637.56 and 1,024.52

Step by Step Solution

1. Step 1: Write the proportion equation
   637.56 : 1,024.52 = 1,024.52 : x
2. Step 2: Convert to fraction form
   637.56/1,024.52 = 1,024.52/x
3. Step 3: Cross multiply
   637.56x = 1,024.52 × 1,024.52
4. Step 4: Simplify right side
   637.56x = 1,049,648.27
5. Step 5: Solve for x
   x = 1,049,648.27/637.56
6. Step 6: Final answer
   x = 1,646.36