Finding the Third Proportional to 10,109 and 21,874

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109 : 21,874 = 21,874 : x
2. Step 2: Convert to fraction form
   10,109/21,874 = 21,874/x
3. Step 3: Cross multiply
   10,109x = 21,874 × 21,874
4. Step 4: Simplify right side
   10,109x = 478,471,876
5. Step 5: Solve for x
   x = 478,471,876/10,109
6. Step 6: Final answer
   x = 47,331.28