Finding the Third Proportional to 50,556 and 76,530

Step by Step Solution

1. Step 1: Write the proportion equation
   50,556 : 76,530 = 76,530 : x
2. Step 2: Convert to fraction form
   50,556/76,530 = 76,530/x
3. Step 3: Cross multiply
   50,556x = 76,530 × 76,530
4. Step 4: Simplify right side
   50,556x = 5,856,840,900
5. Step 5: Solve for x
   x = 5,856,840,900/50,556
6. Step 6: Final answer
   x = 115,848.58