Finding the Third Proportional to 19,876 and 30,760

Step by Step Solution

1. Step 1: Write the proportion equation
   19,876 : 30,760 = 30,760 : x
2. Step 2: Convert to fraction form
   19,876/30,760 = 30,760/x
3. Step 3: Cross multiply
   19,876x = 30,760 × 30,760
4. Step 4: Simplify right side
   19,876x = 946,177,600
5. Step 5: Solve for x
   x = 946,177,600/19,876
6. Step 6: Final answer
   x = 47,604.02