Finding the Third Proportional to 424.47 and 675.38

Step by Step Solution

1. Step 1: Write the proportion equation
   424.47 : 675.38 = 675.38 : x
2. Step 2: Convert to fraction form
   424.47/675.38 = 675.38/x
3. Step 3: Cross multiply
   424.47x = 675.38 × 675.38
4. Step 4: Simplify right side
   424.47x = 456,131.39
5. Step 5: Solve for x
   x = 456,131.39/424.47
6. Step 6: Final answer
   x = 1,074.59