Finding the Third Proportional to 15,400 and 33,384

Step by Step Solution

1. Step 1: Write the proportion equation
   15,400 : 33,384 = 33,384 : x
2. Step 2: Convert to fraction form
   15,400/33,384 = 33,384/x
3. Step 3: Cross multiply
   15,400x = 33,384 × 33,384
4. Step 4: Simplify right side
   15,400x = 1,114,491,456
5. Step 5: Solve for x
   x = 1,114,491,456/15,400
6. Step 6: Final answer
   x = 72,369.58