Finding the Third Proportional to 27,096 and 57,144

Step by Step Solution

1. Step 1: Write the proportion equation
   27,096 : 57,144 = 57,144 : x
2. Step 2: Convert to fraction form
   27,096/57,144 = 57,144/x
3. Step 3: Cross multiply
   27,096x = 57,144 × 57,144
4. Step 4: Simplify right side
   27,096x = 3,265,436,736
5. Step 5: Solve for x
   x = 3,265,436,736/27,096
6. Step 6: Final answer
   x = 120,513.61