Finding the Third Proportional to 8,204 and 12,666

Step by Step Solution

1. Step 1: Write the proportion equation
   8,204 : 12,666 = 12,666 : x
2. Step 2: Convert to fraction form
   8,204/12,666 = 12,666/x
3. Step 3: Cross multiply
   8,204x = 12,666 × 12,666
4. Step 4: Simplify right side
   8,204x = 160,427,556
5. Step 5: Solve for x
   x = 160,427,556/8,204
6. Step 6: Final answer
   x = 19,554.80