Finding the Third Proportional to 400.69 and 635.56

Step by Step Solution

1. Step 1: Write the proportion equation
   400.69 : 635.56 = 635.56 : x
2. Step 2: Convert to fraction form
   400.69/635.56 = 635.56/x
3. Step 3: Cross multiply
   400.69x = 635.56 × 635.56
4. Step 4: Simplify right side
   400.69x = 403,939.69
5. Step 5: Solve for x
   x = 403,939.69/400.69
6. Step 6: Final answer
   x = 1,008.12