Finding the Third Proportional to 16,204 and 20,706

Step by Step Solution

1. Step 1: Write the proportion equation
   16,204 : 20,706 = 20,706 : x
2. Step 2: Convert to fraction form
   16,204/20,706 = 20,706/x
3. Step 3: Cross multiply
   16,204x = 20,706 × 20,706
4. Step 4: Simplify right side
   16,204x = 428,738,436
5. Step 5: Solve for x
   x = 428,738,436/16,204
6. Step 6: Final answer
   x = 26,458.80