Finding the Third Proportional to 12,186 and 27,144

Step by Step Solution

1. Step 1: Write the proportion equation
   12,186 : 27,144 = 27,144 : x
2. Step 2: Convert to fraction form
   12,186/27,144 = 27,144/x
3. Step 3: Cross multiply
   12,186x = 27,144 × 27,144
4. Step 4: Simplify right side
   12,186x = 736,796,736
5. Step 5: Solve for x
   x = 736,796,736/12,186
6. Step 6: Final answer
   x = 60,462.56