Finding the Third Proportional to 38,016 and 57,096

Step by Step Solution

1. Step 1: Write the proportion equation
   38,016 : 57,096 = 57,096 : x
2. Step 2: Convert to fraction form
   38,016/57,096 = 57,096/x
3. Step 3: Cross multiply
   38,016x = 57,096 × 57,096
4. Step 4: Simplify right side
   38,016x = 3,259,953,216
5. Step 5: Solve for x
   x = 3,259,953,216/38,016
6. Step 6: Final answer
   x = 85,752.14