Finding the Third Proportional to 9,834 and 15,227

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834 : 15,227 = 15,227 : x
2. Step 2: Convert to fraction form
   9,834/15,227 = 15,227/x
3. Step 3: Cross multiply
   9,834x = 15,227 × 15,227
4. Step 4: Simplify right side
   9,834x = 231,861,529
5. Step 5: Solve for x
   x = 231,861,529/9,834
6. Step 6: Final answer
   x = 23,577.54