Finding the Third Proportional to 33,096 and 72,138

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 72,138 = 72,138 : x
2. Step 2: Convert to fraction form
   33,096/72,138 = 72,138/x
3. Step 3: Cross multiply
   33,096x = 72,138 × 72,138
4. Step 4: Simplify right side
   33,096x = 5,203,891,044
5. Step 5: Solve for x
   x = 5,203,891,044/33,096
6. Step 6: Final answer
   x = 157,236.25