Finding the Third Proportional to 10,038 and 14,256

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038 : 14,256 = 14,256 : x
2. Step 2: Convert to fraction form
   10,038/14,256 = 14,256/x
3. Step 3: Cross multiply
   10,038x = 14,256 × 14,256
4. Step 4: Simplify right side
   10,038x = 203,233,536
5. Step 5: Solve for x
   x = 203,233,536/10,038
6. Step 6: Final answer
   x = 20,246.42