Finding the Third Proportional to 13,500 and 27,648

Step by Step Solution

1. Step 1: Write the proportion equation
   13,500 : 27,648 = 27,648 : x
2. Step 2: Convert to fraction form
   13,500/27,648 = 27,648/x
3. Step 3: Cross multiply
   13,500x = 27,648 × 27,648
4. Step 4: Simplify right side
   13,500x = 764,411,904
5. Step 5: Solve for x
   x = 764,411,904/13,500
6. Step 6: Final answer
   x = 56,623.10