Finding the Third Proportional to 11,167 and 16,820

Step by Step Solution

1. Step 1: Write the proportion equation
   11,167 : 16,820 = 16,820 : x
2. Step 2: Convert to fraction form
   11,167/16,820 = 16,820/x
3. Step 3: Cross multiply
   11,167x = 16,820 × 16,820
4. Step 4: Simplify right side
   11,167x = 282,912,400
5. Step 5: Solve for x
   x = 282,912,400/11,167
6. Step 6: Final answer
   x = 25,334.68