Finding the Third Proportional to 10,270 and 21,836

Step by Step Solution

1. Step 1: Write the proportion equation
   10,270 : 21,836 = 21,836 : x
2. Step 2: Convert to fraction form
   10,270/21,836 = 21,836/x
3. Step 3: Cross multiply
   10,270x = 21,836 × 21,836
4. Step 4: Simplify right side
   10,270x = 476,810,896
5. Step 5: Solve for x
   x = 476,810,896/10,270
6. Step 6: Final answer
   x = 46,427.55