Finding the Third Proportional to 9,496 and 14,166

Step by Step Solution

1. Step 1: Write the proportion equation
   9,496 : 14,166 = 14,166 : x
2. Step 2: Convert to fraction form
   9,496/14,166 = 14,166/x
3. Step 3: Cross multiply
   9,496x = 14,166 × 14,166
4. Step 4: Simplify right side
   9,496x = 200,675,556
5. Step 5: Solve for x
   x = 200,675,556/9,496
6. Step 6: Final answer
   x = 21,132.64