Finding the Third Proportional to 10,256 and 14,114

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 14,114 = 14,114 : x
2. Step 2: Convert to fraction form
   10,256/14,114 = 14,114/x
3. Step 3: Cross multiply
   10,256x = 14,114 × 14,114
4. Step 4: Simplify right side
   10,256x = 199,204,996
5. Step 5: Solve for x
   x = 199,204,996/10,256
6. Step 6: Final answer
   x = 19,423.26