Finding the Third Proportional to 11,078 and 23,524

Step by Step Solution

1. Step 1: Write the proportion equation
   11,078 : 23,524 = 23,524 : x
2. Step 2: Convert to fraction form
   11,078/23,524 = 23,524/x
3. Step 3: Cross multiply
   11,078x = 23,524 × 23,524
4. Step 4: Simplify right side
   11,078x = 553,378,576
5. Step 5: Solve for x
   x = 553,378,576/11,078
6. Step 6: Final answer
   x = 49,952.93