Finding the Third Proportional to 11,600 and 16,456

Step by Step Solution

1. Step 1: Write the proportion equation
   11,600 : 16,456 = 16,456 : x
2. Step 2: Convert to fraction form
   11,600/16,456 = 16,456/x
3. Step 3: Cross multiply
   11,600x = 16,456 × 16,456
4. Step 4: Simplify right side
   11,600x = 270,799,936
5. Step 5: Solve for x
   x = 270,799,936/11,600
6. Step 6: Final answer
   x = 23,344.82