Finding the Third Proportional to 12,288 and 27,072

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 27,072 = 27,072 : x
2. Step 2: Convert to fraction form
   12,288/27,072 = 27,072/x
3. Step 3: Cross multiply
   12,288x = 27,072 × 27,072
4. Step 4: Simplify right side
   12,288x = 732,893,184
5. Step 5: Solve for x
   x = 732,893,184/12,288
6. Step 6: Final answer
   x = 59,643