Finding the Third Proportional to 20,164 and 28,204

Step by Step Solution

1. Step 1: Write the proportion equation
   20,164 : 28,204 = 28,204 : x
2. Step 2: Convert to fraction form
   20,164/28,204 = 28,204/x
3. Step 3: Cross multiply
   20,164x = 28,204 × 28,204
4. Step 4: Simplify right side
   20,164x = 795,465,616
5. Step 5: Solve for x
   x = 795,465,616/20,164
6. Step 6: Final answer
   x = 39,449.79