Finding the Third Proportional to 33,796 and 50,416

Step by Step Solution

1. Step 1: Write the proportion equation
   33,796 : 50,416 = 50,416 : x
2. Step 2: Convert to fraction form
   33,796/50,416 = 50,416/x
3. Step 3: Cross multiply
   33,796x = 50,416 × 50,416
4. Step 4: Simplify right side
   33,796x = 2,541,773,056
5. Step 5: Solve for x
   x = 2,541,773,056/33,796
6. Step 6: Final answer
   x = 75,209.29