Finding the Third Proportional to 10,400 and 16,764

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 16,764 = 16,764 : x
2. Step 2: Convert to fraction form
   10,400/16,764 = 16,764/x
3. Step 3: Cross multiply
   10,400x = 16,764 × 16,764
4. Step 4: Simplify right side
   10,400x = 281,031,696
5. Step 5: Solve for x
   x = 281,031,696/10,400
6. Step 6: Final answer
   x = 27,022.28