Finding the Third Proportional to 12,296 and 18,404

Step by Step Solution

1. Step 1: Write the proportion equation
   12,296 : 18,404 = 18,404 : x
2. Step 2: Convert to fraction form
   12,296/18,404 = 18,404/x
3. Step 3: Cross multiply
   12,296x = 18,404 × 18,404
4. Step 4: Simplify right side
   12,296x = 338,707,216
5. Step 5: Solve for x
   x = 338,707,216/12,296
6. Step 6: Final answer
   x = 27,546.13