Finding the Third Proportional to 30,777 and 50,250

Step by Step Solution

1. Step 1: Write the proportion equation
   30,777 : 50,250 = 50,250 : x
2. Step 2: Convert to fraction form
   30,777/50,250 = 50,250/x
3. Step 3: Cross multiply
   30,777x = 50,250 × 50,250
4. Step 4: Simplify right side
   30,777x = 2,525,062,500
5. Step 5: Solve for x
   x = 2,525,062,500/30,777
6. Step 6: Final answer
   x = 82,043.82