Finding the Third Proportional to 27,144 and 56,016

Step by Step Solution

1. Step 1: Write the proportion equation
   27,144 : 56,016 = 56,016 : x
2. Step 2: Convert to fraction form
   27,144/56,016 = 56,016/x
3. Step 3: Cross multiply
   27,144x = 56,016 × 56,016
4. Step 4: Simplify right side
   27,144x = 3,137,792,256
5. Step 5: Solve for x
   x = 3,137,792,256/27,144
6. Step 6: Final answer
   x = 115,598.01