Finding the Third Proportional to 33,676 and 50,514

Step by Step Solution

1. Step 1: Write the proportion equation
   33,676 : 50,514 = 50,514 : x
2. Step 2: Convert to fraction form
   33,676/50,514 = 50,514/x
3. Step 3: Cross multiply
   33,676x = 50,514 × 50,514
4. Step 4: Simplify right side
   33,676x = 2,551,664,196
5. Step 5: Solve for x
   x = 2,551,664,196/33,676
6. Step 6: Final answer
   x = 75,771