Finding the Third Proportional to 33,836 and 49,648

Step by Step Solution

1. Step 1: Write the proportion equation
   33,836 : 49,648 = 49,648 : x
2. Step 2: Convert to fraction form
   33,836/49,648 = 49,648/x
3. Step 3: Cross multiply
   33,836x = 49,648 × 49,648
4. Step 4: Simplify right side
   33,836x = 2,464,923,904
5. Step 5: Solve for x
   x = 2,464,923,904/33,836
6. Step 6: Final answer
   x = 72,849.15