Finding the Third Proportional to 33,133 and 71,912

Step by Step Solution

1. Step 1: Write the proportion equation
   33,133 : 71,912 = 71,912 : x
2. Step 2: Convert to fraction form
   33,133/71,912 = 71,912/x
3. Step 3: Cross multiply
   33,133x = 71,912 × 71,912
4. Step 4: Simplify right side
   33,133x = 5,171,335,744
5. Step 5: Solve for x
   x = 5,171,335,744/33,133
6. Step 6: Final answer
   x = 156,078.10