Finding the Third Proportional to 10,152 and 14,256

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 14,256 = 14,256 : x
2. Step 2: Convert to fraction form
   10,152/14,256 = 14,256/x
3. Step 3: Cross multiply
   10,152x = 14,256 × 14,256
4. Step 4: Simplify right side
   10,152x = 203,233,536
5. Step 5: Solve for x
   x = 203,233,536/10,152
6. Step 6: Final answer
   x = 20,019.06