Finding the Third Proportional to 5,829 and 12,227

Step by Step Solution

1. Step 1: Write the proportion equation
   5,829 : 12,227 = 12,227 : x
2. Step 2: Convert to fraction form
   5,829/12,227 = 12,227/x
3. Step 3: Cross multiply
   5,829x = 12,227 × 12,227
4. Step 4: Simplify right side
   5,829x = 149,499,529
5. Step 5: Solve for x
   x = 149,499,529/5,829
6. Step 6: Final answer
   x = 25,647.54