Finding the Third Proportional to 22,400 and 33,384

Step by Step Solution

1. Step 1: Write the proportion equation
   22,400 : 33,384 = 33,384 : x
2. Step 2: Convert to fraction form
   22,400/33,384 = 33,384/x
3. Step 3: Cross multiply
   22,400x = 33,384 × 33,384
4. Step 4: Simplify right side
   22,400x = 1,114,491,456
5. Step 5: Solve for x
   x = 1,114,491,456/22,400
6. Step 6: Final answer
   x = 49,754.08