Finding the Third Proportional to 33,096 and 49,948

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 49,948 = 49,948 : x
2. Step 2: Convert to fraction form
   33,096/49,948 = 49,948/x
3. Step 3: Cross multiply
   33,096x = 49,948 × 49,948
4. Step 4: Simplify right side
   33,096x = 2,494,802,704
5. Step 5: Solve for x
   x = 2,494,802,704/33,096
6. Step 6: Final answer
   x = 75,380.79