Finding the Third Proportional to 475.25 and 635.71

Step by Step Solution

1. Step 1: Write the proportion equation
   475.25 : 635.71 = 635.71 : x
2. Step 2: Convert to fraction form
   475.25/635.71 = 635.71/x
3. Step 3: Cross multiply
   475.25x = 635.71 × 635.71
4. Step 4: Simplify right side
   475.25x = 404,130.88
5. Step 5: Solve for x
   x = 404,130.88/475.25
6. Step 6: Final answer
   x = 850.36