Finding the Third Proportional to 11,576 and 17,936

Step by Step Solution

1. Step 1: Write the proportion equation
   11,576 : 17,936 = 17,936 : x
2. Step 2: Convert to fraction form
   11,576/17,936 = 17,936/x
3. Step 3: Cross multiply
   11,576x = 17,936 × 17,936
4. Step 4: Simplify right side
   11,576x = 321,700,096
5. Step 5: Solve for x
   x = 321,700,096/11,576
6. Step 6: Final answer
   x = 27,790.26