Finding the Third Proportional to 10,974 and 22,467

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974 : 22,467 = 22,467 : x
2. Step 2: Convert to fraction form
   10,974/22,467 = 22,467/x
3. Step 3: Cross multiply
   10,974x = 22,467 × 22,467
4. Step 4: Simplify right side
   10,974x = 504,766,089
5. Step 5: Solve for x
   x = 504,766,089/10,974
6. Step 6: Final answer
   x = 45,996.55