Finding the Third Proportional to 12,480 and 27,456

Step by Step Solution

1. Step 1: Write the proportion equation
   12,480 : 27,456 = 27,456 : x
2. Step 2: Convert to fraction form
   12,480/27,456 = 27,456/x
3. Step 3: Cross multiply
   12,480x = 27,456 × 27,456
4. Step 4: Simplify right side
   12,480x = 753,831,936
5. Step 5: Solve for x
   x = 753,831,936/12,480
6. Step 6: Final answer
   x = 60,403.20