Finding the Third Proportional to 33,078 and 50,841

Step by Step Solution

1. Step 1: Write the proportion equation
   33,078 : 50,841 = 50,841 : x
2. Step 2: Convert to fraction form
   33,078/50,841 = 50,841/x
3. Step 3: Cross multiply
   33,078x = 50,841 × 50,841
4. Step 4: Simplify right side
   33,078x = 2,584,807,281
5. Step 5: Solve for x
   x = 2,584,807,281/33,078
6. Step 6: Final answer
   x = 78,142.79