Finding the Third Proportional to 12,144 and 18,264

Step by Step Solution

1. Step 1: Write the proportion equation
   12,144 : 18,264 = 18,264 : x
2. Step 2: Convert to fraction form
   12,144/18,264 = 18,264/x
3. Step 3: Cross multiply
   12,144x = 18,264 × 18,264
4. Step 4: Simplify right side
   12,144x = 333,573,696
5. Step 5: Solve for x
   x = 333,573,696/12,144
6. Step 6: Final answer
   x = 27,468.19