Finding the Third Proportional to 11,530 and 17,836

Step by Step Solution

1. Step 1: Write the proportion equation
   11,530 : 17,836 = 17,836 : x
2. Step 2: Convert to fraction form
   11,530/17,836 = 17,836/x
3. Step 3: Cross multiply
   11,530x = 17,836 × 17,836
4. Step 4: Simplify right side
   11,530x = 318,122,896
5. Step 5: Solve for x
   x = 318,122,896/11,530
6. Step 6: Final answer
   x = 27,590.88