Finding the Third Proportional to 11,564 and 18,404

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 18,404 = 18,404 : x
2. Step 2: Convert to fraction form
   11,564/18,404 = 18,404/x
3. Step 3: Cross multiply
   11,564x = 18,404 × 18,404
4. Step 4: Simplify right side
   11,564x = 338,707,216
5. Step 5: Solve for x
   x = 338,707,216/11,564
6. Step 6: Final answer
   x = 29,289.80