Finding the Third Proportional to 33,137 and 71,218

Step by Step Solution

1. Step 1: Write the proportion equation
   33,137 : 71,218 = 71,218 : x
2. Step 2: Convert to fraction form
   33,137/71,218 = 71,218/x
3. Step 3: Cross multiply
   33,137x = 71,218 × 71,218
4. Step 4: Simplify right side
   33,137x = 5,072,003,524
5. Step 5: Solve for x
   x = 5,072,003,524/33,137
6. Step 6: Final answer
   x = 153,061.64