Finding the Third Proportional to 11,576 and 17,931

Step by Step Solution

1. Step 1: Write the proportion equation
   11,576 : 17,931 = 17,931 : x
2. Step 2: Convert to fraction form
   11,576/17,931 = 17,931/x
3. Step 3: Cross multiply
   11,576x = 17,931 × 17,931
4. Step 4: Simplify right side
   11,576x = 321,520,761
5. Step 5: Solve for x
   x = 321,520,761/11,576
6. Step 6: Final answer
   x = 27,774.77