Finding the Third Proportional to 19,401 and 27,456

Step by Step Solution

1. Step 1: Write the proportion equation
   19,401 : 27,456 = 27,456 : x
2. Step 2: Convert to fraction form
   19,401/27,456 = 27,456/x
3. Step 3: Cross multiply
   19,401x = 27,456 × 27,456
4. Step 4: Simplify right side
   19,401x = 753,831,936
5. Step 5: Solve for x
   x = 753,831,936/19,401
6. Step 6: Final answer
   x = 38,855.31