Finding the Third Proportional to 10,111 and 21,866

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111 : 21,866 = 21,866 : x
2. Step 2: Convert to fraction form
   10,111/21,866 = 21,866/x
3. Step 3: Cross multiply
   10,111x = 21,866 × 21,866
4. Step 4: Simplify right side
   10,111x = 478,121,956
5. Step 5: Solve for x
   x = 478,121,956/10,111
6. Step 6: Final answer
   x = 47,287.31