Finding the Third Proportional to 7,724 and 16,105

Step by Step Solution

1. Step 1: Write the proportion equation
   7,724 : 16,105 = 16,105 : x
2. Step 2: Convert to fraction form
   7,724/16,105 = 16,105/x
3. Step 3: Cross multiply
   7,724x = 16,105 × 16,105
4. Step 4: Simplify right side
   7,724x = 259,371,025
5. Step 5: Solve for x
   x = 259,371,025/7,724
6. Step 6: Final answer
   x = 33,579.88