Finding the Third Proportional to 11,168 and 23,424

Step by Step Solution

1. Step 1: Write the proportion equation
   11,168 : 23,424 = 23,424 : x
2. Step 2: Convert to fraction form
   11,168/23,424 = 23,424/x
3. Step 3: Cross multiply
   11,168x = 23,424 × 23,424
4. Step 4: Simplify right side
   11,168x = 548,683,776
5. Step 5: Solve for x
   x = 548,683,776/11,168
6. Step 6: Final answer
   x = 49,129.99