Finding the Third Proportional to 10,256 and 13,467

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 13,467 = 13,467 : x
2. Step 2: Convert to fraction form
   10,256/13,467 = 13,467/x
3. Step 3: Cross multiply
   10,256x = 13,467 × 13,467
4. Step 4: Simplify right side
   10,256x = 181,360,089
5. Step 5: Solve for x
   x = 181,360,089/10,256
6. Step 6: Final answer
   x = 17,683.32