Finding the Third Proportional to 11,384 and 23,840

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384 : 23,840 = 23,840 : x
2. Step 2: Convert to fraction form
   11,384/23,840 = 23,840/x
3. Step 3: Cross multiply
   11,384x = 23,840 × 23,840
4. Step 4: Simplify right side
   11,384x = 568,345,600
5. Step 5: Solve for x
   x = 568,345,600/11,384
6. Step 6: Final answer
   x = 49,924.95