Finding the Third Proportional to 32,661 and 50,267

Step by Step Solution

1. Step 1: Write the proportion equation
   32,661 : 50,267 = 50,267 : x
2. Step 2: Convert to fraction form
   32,661/50,267 = 50,267/x
3. Step 3: Cross multiply
   32,661x = 50,267 × 50,267
4. Step 4: Simplify right side
   32,661x = 2,526,771,289
5. Step 5: Solve for x
   x = 2,526,771,289/32,661
6. Step 6: Final answer
   x = 77,363.56