Finding the Third Proportional to 11,648 and 16,436

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648 : 16,436 = 16,436 : x
2. Step 2: Convert to fraction form
   11,648/16,436 = 16,436/x
3. Step 3: Cross multiply
   11,648x = 16,436 × 16,436
4. Step 4: Simplify right side
   11,648x = 270,142,096
5. Step 5: Solve for x
   x = 270,142,096/11,648
6. Step 6: Final answer
   x = 23,192.14