Finding the Third Proportional to 33,767 and 50,461

Step by Step Solution

1. Step 1: Write the proportion equation
   33,767 : 50,461 = 50,461 : x
2. Step 2: Convert to fraction form
   33,767/50,461 = 50,461/x
3. Step 3: Cross multiply
   33,767x = 50,461 × 50,461
4. Step 4: Simplify right side
   33,767x = 2,546,312,521
5. Step 5: Solve for x
   x = 2,546,312,521/33,767
6. Step 6: Final answer
   x = 75,408.31