Finding the Third Proportional to 33,789 and 50,684

Step by Step Solution

1. Step 1: Write the proportion equation
   33,789 : 50,684 = 50,684 : x
2. Step 2: Convert to fraction form
   33,789/50,684 = 50,684/x
3. Step 3: Cross multiply
   33,789x = 50,684 × 50,684
4. Step 4: Simplify right side
   33,789x = 2,568,867,856
5. Step 5: Solve for x
   x = 2,568,867,856/33,789
6. Step 6: Final answer
   x = 76,026.75