Finding the Third Proportional to 424.69 and 635.06

Step by Step Solution

1. Step 1: Write the proportion equation
   424.69 : 635.06 = 635.06 : x
2. Step 2: Convert to fraction form
   424.69/635.06 = 635.06/x
3. Step 3: Cross multiply
   424.69x = 635.06 × 635.06
4. Step 4: Simplify right side
   424.69x = 403,304.38
5. Step 5: Solve for x
   x = 403,304.38/424.69
6. Step 6: Final answer
   x = 949.65