Finding the Third Proportional to 8,028 and 10,218

Step by Step Solution

1. Step 1: Write the proportion equation
   8,028 : 10,218 = 10,218 : x
2. Step 2: Convert to fraction form
   8,028/10,218 = 10,218/x
3. Step 3: Cross multiply
   8,028x = 10,218 × 10,218
4. Step 4: Simplify right side
   8,028x = 104,407,524
5. Step 5: Solve for x
   x = 104,407,524/8,028
6. Step 6: Final answer
   x = 13,005.42