Finding the Third Proportional to 10,400 and 15,384

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 15,384 = 15,384 : x
2. Step 2: Convert to fraction form
   10,400/15,384 = 15,384/x
3. Step 3: Cross multiply
   10,400x = 15,384 × 15,384
4. Step 4: Simplify right side
   10,400x = 236,667,456
5. Step 5: Solve for x
   x = 236,667,456/10,400
6. Step 6: Final answer
   x = 22,756.49