Finding the Third Proportional to 7,674 and 10,227

Step by Step Solution

1. Step 1: Write the proportion equation
   7,674 : 10,227 = 10,227 : x
2. Step 2: Convert to fraction form
   7,674/10,227 = 10,227/x
3. Step 3: Cross multiply
   7,674x = 10,227 × 10,227
4. Step 4: Simplify right side
   7,674x = 104,591,529
5. Step 5: Solve for x
   x = 104,591,529/7,674
6. Step 6: Final answer
   x = 13,629.34