Finding the Third Proportional to 11,584 and 24,144

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584 : 24,144 = 24,144 : x
2. Step 2: Convert to fraction form
   11,584/24,144 = 24,144/x
3. Step 3: Cross multiply
   11,584x = 24,144 × 24,144
4. Step 4: Simplify right side
   11,584x = 582,932,736
5. Step 5: Solve for x
   x = 582,932,736/11,584
6. Step 6: Final answer
   x = 50,322.23