Finding the Third Proportional to 10,726 and 16,256

Step by Step Solution

1. Step 1: Write the proportion equation
   10,726 : 16,256 = 16,256 : x
2. Step 2: Convert to fraction form
   10,726/16,256 = 16,256/x
3. Step 3: Cross multiply
   10,726x = 16,256 × 16,256
4. Step 4: Simplify right side
   10,726x = 264,257,536
5. Step 5: Solve for x
   x = 264,257,536/10,726
6. Step 6: Final answer
   x = 24,637.10