Finding the Third Proportional to 10,256 and 16,018

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 16,018 = 16,018 : x
2. Step 2: Convert to fraction form
   10,256/16,018 = 16,018/x
3. Step 3: Cross multiply
   10,256x = 16,018 × 16,018
4. Step 4: Simplify right side
   10,256x = 256,576,324
5. Step 5: Solve for x
   x = 256,576,324/10,256
6. Step 6: Final answer
   x = 25,017.19