Finding the Third Proportional to 10,144 and 14,866

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144 : 14,866 = 14,866 : x
2. Step 2: Convert to fraction form
   10,144/14,866 = 14,866/x
3. Step 3: Cross multiply
   10,144x = 14,866 × 14,866
4. Step 4: Simplify right side
   10,144x = 220,997,956
5. Step 5: Solve for x
   x = 220,997,956/10,144
6. Step 6: Final answer
   x = 21,786.08