Finding the Third Proportional to 9,222 and 16,380

Step by Step Solution

1. Step 1: Write the proportion equation
   9,222 : 16,380 = 16,380 : x
2. Step 2: Convert to fraction form
   9,222/16,380 = 16,380/x
3. Step 3: Cross multiply
   9,222x = 16,380 × 16,380
4. Step 4: Simplify right side
   9,222x = 268,304,400
5. Step 5: Solve for x
   x = 268,304,400/9,222
6. Step 6: Final answer
   x = 29,093.95