Finding the Third Proportional to 33,066 and 70,218

Step by Step Solution

1. Step 1: Write the proportion equation
   33,066 : 70,218 = 70,218 : x
2. Step 2: Convert to fraction form
   33,066/70,218 = 70,218/x
3. Step 3: Cross multiply
   33,066x = 70,218 × 70,218
4. Step 4: Simplify right side
   33,066x = 4,930,567,524
5. Step 5: Solve for x
   x = 4,930,567,524/33,066
6. Step 6: Final answer
   x = 149,112.91