Finding the Third Proportional to 11,622 and 16,380

Step by Step Solution

1. Step 1: Write the proportion equation
   11,622 : 16,380 = 16,380 : x
2. Step 2: Convert to fraction form
   11,622/16,380 = 16,380/x
3. Step 3: Cross multiply
   11,622x = 16,380 × 16,380
4. Step 4: Simplify right side
   11,622x = 268,304,400
5. Step 5: Solve for x
   x = 268,304,400/11,622
6. Step 6: Final answer
   x = 23,085.91