Finding the Third Proportional to 33,500 and 50,682

Step by Step Solution

1. Step 1: Write the proportion equation
   33,500 : 50,682 = 50,682 : x
2. Step 2: Convert to fraction form
   33,500/50,682 = 50,682/x
3. Step 3: Cross multiply
   33,500x = 50,682 × 50,682
4. Step 4: Simplify right side
   33,500x = 2,568,665,124
5. Step 5: Solve for x
   x = 2,568,665,124/33,500
6. Step 6: Final answer
   x = 76,676.57