Finding the Third Proportional to 11,706 and 24,384

Step by Step Solution

1. Step 1: Write the proportion equation
   11,706 : 24,384 = 24,384 : x
2. Step 2: Convert to fraction form
   11,706/24,384 = 24,384/x
3. Step 3: Cross multiply
   11,706x = 24,384 × 24,384
4. Step 4: Simplify right side
   11,706x = 594,579,456
5. Step 5: Solve for x
   x = 594,579,456/11,706
6. Step 6: Final answer
   x = 50,792.71