Finding the Third Proportional to 10,384 and 18,400

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 18,400 = 18,400 : x
2. Step 2: Convert to fraction form
   10,384/18,400 = 18,400/x
3. Step 3: Cross multiply
   10,384x = 18,400 × 18,400
4. Step 4: Simplify right side
   10,384x = 338,560,000
5. Step 5: Solve for x
   x = 338,560,000/10,384
6. Step 6: Final answer
   x = 32,604.01