Finding the Third Proportional to 33,678 and 50,309

Step by Step Solution

1. Step 1: Write the proportion equation
   33,678 : 50,309 = 50,309 : x
2. Step 2: Convert to fraction form
   33,678/50,309 = 50,309/x
3. Step 3: Cross multiply
   33,678x = 50,309 × 50,309
4. Step 4: Simplify right side
   33,678x = 2,530,995,481
5. Step 5: Solve for x
   x = 2,530,995,481/33,678
6. Step 6: Final answer
   x = 75,152.78