Finding the Third Proportional to 50,556 and 76,461

Step by Step Solution

1. Step 1: Write the proportion equation
   50,556 : 76,461 = 76,461 : x
2. Step 2: Convert to fraction form
   50,556/76,461 = 76,461/x
3. Step 3: Cross multiply
   50,556x = 76,461 × 76,461
4. Step 4: Simplify right side
   50,556x = 5,846,284,521
5. Step 5: Solve for x
   x = 5,846,284,521/50,556
6. Step 6: Final answer
   x = 115,639.78