Finding the Third Proportional to 33,996 and 49,988

Step by Step Solution

1. Step 1: Write the proportion equation
   33,996 : 49,988 = 49,988 : x
2. Step 2: Convert to fraction form
   33,996/49,988 = 49,988/x
3. Step 3: Cross multiply
   33,996x = 49,988 × 49,988
4. Step 4: Simplify right side
   33,996x = 2,498,800,144
5. Step 5: Solve for x
   x = 2,498,800,144/33,996
6. Step 6: Final answer
   x = 73,502.77