Finding the Third Proportional to 10,724 and 16,166

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724 : 16,166 = 16,166 : x
2. Step 2: Convert to fraction form
   10,724/16,166 = 16,166/x
3. Step 3: Cross multiply
   10,724x = 16,166 × 16,166
4. Step 4: Simplify right side
   10,724x = 261,339,556
5. Step 5: Solve for x
   x = 261,339,556/10,724
6. Step 6: Final answer
   x = 24,369.60