Finding the Third Proportional to 36,096 and 54,144

Step by Step Solution

1. Step 1: Write the proportion equation
   36,096 : 54,144 = 54,144 : x
2. Step 2: Convert to fraction form
   36,096/54,144 = 54,144/x
3. Step 3: Cross multiply
   36,096x = 54,144 × 54,144
4. Step 4: Simplify right side
   36,096x = 2,931,572,736
5. Step 5: Solve for x
   x = 2,931,572,736/36,096
6. Step 6: Final answer
   x = 81,216