Finding the Third Proportional to 50,544 and 77,040

Step by Step Solution

1. Step 1: Write the proportion equation
   50,544 : 77,040 = 77,040 : x
2. Step 2: Convert to fraction form
   50,544/77,040 = 77,040/x
3. Step 3: Cross multiply
   50,544x = 77,040 × 77,040
4. Step 4: Simplify right side
   50,544x = 5,935,161,600
5. Step 5: Solve for x
   x = 5,935,161,600/50,544
6. Step 6: Final answer
   x = 117,425.64