Finding the Third Proportional to 10,100 and 21,857

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100 : 21,857 = 21,857 : x
2. Step 2: Convert to fraction form
   10,100/21,857 = 21,857/x
3. Step 3: Cross multiply
   10,100x = 21,857 × 21,857
4. Step 4: Simplify right side
   10,100x = 477,728,449
5. Step 5: Solve for x
   x = 477,728,449/10,100
6. Step 6: Final answer
   x = 47,299.85