Finding the Third Proportional to 11,280 and 27,144

Step by Step Solution

1. Step 1: Write the proportion equation
   11,280 : 27,144 = 27,144 : x
2. Step 2: Convert to fraction form
   11,280/27,144 = 27,144/x
3. Step 3: Cross multiply
   11,280x = 27,144 × 27,144
4. Step 4: Simplify right side
   11,280x = 736,796,736
5. Step 5: Solve for x
   x = 736,796,736/11,280
6. Step 6: Final answer
   x = 65,318.86