Finding the Third Proportional to 11,568 and 16,362

Step by Step Solution

1. Step 1: Write the proportion equation
   11,568 : 16,362 = 16,362 : x
2. Step 2: Convert to fraction form
   11,568/16,362 = 16,362/x
3. Step 3: Cross multiply
   11,568x = 16,362 × 16,362
4. Step 4: Simplify right side
   11,568x = 267,715,044
5. Step 5: Solve for x
   x = 267,715,044/11,568
6. Step 6: Final answer
   x = 23,142.73