Finding the Third Proportional to 33,796 and 49,410

Step by Step Solution

1. Step 1: Write the proportion equation
   33,796 : 49,410 = 49,410 : x
2. Step 2: Convert to fraction form
   33,796/49,410 = 49,410/x
3. Step 3: Cross multiply
   33,796x = 49,410 × 49,410
4. Step 4: Simplify right side
   33,796x = 2,441,348,100
5. Step 5: Solve for x
   x = 2,441,348,100/33,796
6. Step 6: Final answer
   x = 72,237.78