Finding the Third Proportional to 33,021 and 71,388

Step by Step Solution

1. Step 1: Write the proportion equation
   33,021 : 71,388 = 71,388 : x
2. Step 2: Convert to fraction form
   33,021/71,388 = 71,388/x
3. Step 3: Cross multiply
   33,021x = 71,388 × 71,388
4. Step 4: Simplify right side
   33,021x = 5,096,246,544
5. Step 5: Solve for x
   x = 5,096,246,544/33,021
6. Step 6: Final answer
   x = 154,333.50