Finding the Third Proportional to 19,200 and 27,456

Step by Step Solution

1. Step 1: Write the proportion equation
   19,200 : 27,456 = 27,456 : x
2. Step 2: Convert to fraction form
   19,200/27,456 = 27,456/x
3. Step 3: Cross multiply
   19,200x = 27,456 × 27,456
4. Step 4: Simplify right side
   19,200x = 753,831,936
5. Step 5: Solve for x
   x = 753,831,936/19,200
6. Step 6: Final answer
   x = 39,262.08