Finding the Third Proportional to 11,138 and 16,086

Step by Step Solution

1. Step 1: Write the proportion equation
   11,138 : 16,086 = 16,086 : x
2. Step 2: Convert to fraction form
   11,138/16,086 = 16,086/x
3. Step 3: Cross multiply
   11,138x = 16,086 × 16,086
4. Step 4: Simplify right side
   11,138x = 258,759,396
5. Step 5: Solve for x
   x = 258,759,396/11,138
6. Step 6: Final answer
   x = 23,232.12