Finding the Third Proportional to 29,568 and 35,036

Step by Step Solution

1. Step 1: Write the proportion equation
   29,568 : 35,036 = 35,036 : x
2. Step 2: Convert to fraction form
   29,568/35,036 = 35,036/x
3. Step 3: Cross multiply
   29,568x = 35,036 × 35,036
4. Step 4: Simplify right side
   29,568x = 1,227,521,296
5. Step 5: Solve for x
   x = 1,227,521,296/29,568
6. Step 6: Final answer
   x = 41,515.20