Finding the Third Proportional to 19,777 and 30,800

Step by Step Solution

1. Step 1: Write the proportion equation
   19,777 : 30,800 = 30,800 : x
2. Step 2: Convert to fraction form
   19,777/30,800 = 30,800/x
3. Step 3: Cross multiply
   19,777x = 30,800 × 30,800
4. Step 4: Simplify right side
   19,777x = 948,640,000
5. Step 5: Solve for x
   x = 948,640,000/19,777
6. Step 6: Final answer
   x = 47,966.83