Finding the Third Proportional to 14,384 and 24,456

Step by Step Solution

1. Step 1: Write the proportion equation
   14,384 : 24,456 = 24,456 : x
2. Step 2: Convert to fraction form
   14,384/24,456 = 24,456/x
3. Step 3: Cross multiply
   14,384x = 24,456 × 24,456
4. Step 4: Simplify right side
   14,384x = 598,095,936
5. Step 5: Solve for x
   x = 598,095,936/14,384
6. Step 6: Final answer
   x = 41,580.64