Finding the Third Proportional to 9,940 and 16,166

Step by Step Solution

1. Step 1: Write the proportion equation
   9,940 : 16,166 = 16,166 : x
2. Step 2: Convert to fraction form
   9,940/16,166 = 16,166/x
3. Step 3: Cross multiply
   9,940x = 16,166 × 16,166
4. Step 4: Simplify right side
   9,940x = 261,339,556
5. Step 5: Solve for x
   x = 261,339,556/9,940
6. Step 6: Final answer
   x = 26,291.71