Finding the Third Proportional to 7,724 and 12,441

Step by Step Solution

1. Step 1: Write the proportion equation
   7,724 : 12,441 = 12,441 : x
2. Step 2: Convert to fraction form
   7,724/12,441 = 12,441/x
3. Step 3: Cross multiply
   7,724x = 12,441 × 12,441
4. Step 4: Simplify right side
   7,724x = 154,778,481
5. Step 5: Solve for x
   x = 154,778,481/7,724
6. Step 6: Final answer
   x = 20,038.64