Finding the Third Proportional to 5,240 and 11,404

Step by Step Solution

1. Step 1: Write the proportion equation
   5,240 : 11,404 = 11,404 : x
2. Step 2: Convert to fraction form
   5,240/11,404 = 11,404/x
3. Step 3: Cross multiply
   5,240x = 11,404 × 11,404
4. Step 4: Simplify right side
   5,240x = 130,051,216
5. Step 5: Solve for x
   x = 130,051,216/5,240
6. Step 6: Final answer
   x = 24,818.93