Finding the Third Proportional to 33,665 and 70,811

Step by Step Solution

1. Step 1: Write the proportion equation
   33,665 : 70,811 = 70,811 : x
2. Step 2: Convert to fraction form
   33,665/70,811 = 70,811/x
3. Step 3: Cross multiply
   33,665x = 70,811 × 70,811
4. Step 4: Simplify right side
   33,665x = 5,014,197,721
5. Step 5: Solve for x
   x = 5,014,197,721/33,665
6. Step 6: Final answer
   x = 148,943.94