Finding the Third Proportional to 11,144 and 16,106

Step by Step Solution

1. Step 1: Write the proportion equation
   11,144 : 16,106 = 16,106 : x
2. Step 2: Convert to fraction form
   11,144/16,106 = 16,106/x
3. Step 3: Cross multiply
   11,144x = 16,106 × 16,106
4. Step 4: Simplify right side
   11,144x = 259,403,236
5. Step 5: Solve for x
   x = 259,403,236/11,144
6. Step 6: Final answer
   x = 23,277.39