Finding the Third Proportional to 33,682 and 50,315

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682 : 50,315 = 50,315 : x
2. Step 2: Convert to fraction form
   33,682/50,315 = 50,315/x
3. Step 3: Cross multiply
   33,682x = 50,315 × 50,315
4. Step 4: Simplify right side
   33,682x = 2,531,599,225
5. Step 5: Solve for x
   x = 2,531,599,225/33,682
6. Step 6: Final answer
   x = 75,161.78