Finding the Third Proportional to 50,544 and 76,512

Step by Step Solution

1. Step 1: Write the proportion equation
   50,544 : 76,512 = 76,512 : x
2. Step 2: Convert to fraction form
   50,544/76,512 = 76,512/x
3. Step 3: Cross multiply
   50,544x = 76,512 × 76,512
4. Step 4: Simplify right side
   50,544x = 5,854,086,144
5. Step 5: Solve for x
   x = 5,854,086,144/50,544
6. Step 6: Final answer
   x = 115,821.58