Finding the Third Proportional to 33,662 and 70,874

Step by Step Solution

1. Step 1: Write the proportion equation
   33,662 : 70,874 = 70,874 : x
2. Step 2: Convert to fraction form
   33,662/70,874 = 70,874/x
3. Step 3: Cross multiply
   33,662x = 70,874 × 70,874
4. Step 4: Simplify right side
   33,662x = 5,023,123,876
5. Step 5: Solve for x
   x = 5,023,123,876/33,662
6. Step 6: Final answer
   x = 149,222.38