Finding the Third Proportional to 11,082 and 16,706

Step by Step Solution

1. Step 1: Write the proportion equation
   11,082 : 16,706 = 16,706 : x
2. Step 2: Convert to fraction form
   11,082/16,706 = 16,706/x
3. Step 3: Cross multiply
   11,082x = 16,706 × 16,706
4. Step 4: Simplify right side
   11,082x = 279,090,436
5. Step 5: Solve for x
   x = 279,090,436/11,082
6. Step 6: Final answer
   x = 25,184.12