Finding the Third Proportional to 33,878 and 50,325

Step by Step Solution

1. Step 1: Write the proportion equation
   33,878 : 50,325 = 50,325 : x
2. Step 2: Convert to fraction form
   33,878/50,325 = 50,325/x
3. Step 3: Cross multiply
   33,878x = 50,325 × 50,325
4. Step 4: Simplify right side
   33,878x = 2,532,605,625
5. Step 5: Solve for x
   x = 2,532,605,625/33,878
6. Step 6: Final answer
   x = 74,756.65