Finding the Third Proportional to 12,314 and 16,824

Step by Step Solution

1. Step 1: Write the proportion equation
   12,314 : 16,824 = 16,824 : x
2. Step 2: Convert to fraction form
   12,314/16,824 = 16,824/x
3. Step 3: Cross multiply
   12,314x = 16,824 × 16,824
4. Step 4: Simplify right side
   12,314x = 283,046,976
5. Step 5: Solve for x
   x = 283,046,976/12,314
6. Step 6: Final answer
   x = 22,985.79