Finding the Third Proportional to 33,811 and 72,311

Step by Step Solution

1. Step 1: Write the proportion equation
   33,811 : 72,311 = 72,311 : x
2. Step 2: Convert to fraction form
   33,811/72,311 = 72,311/x
3. Step 3: Cross multiply
   33,811x = 72,311 × 72,311
4. Step 4: Simplify right side
   33,811x = 5,228,880,721
5. Step 5: Solve for x
   x = 5,228,880,721/33,811
6. Step 6: Final answer
   x = 154,650.28