Finding the Third Proportional to 10,209 and 16,380

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209 : 16,380 = 16,380 : x
2. Step 2: Convert to fraction form
   10,209/16,380 = 16,380/x
3. Step 3: Cross multiply
   10,209x = 16,380 × 16,380
4. Step 4: Simplify right side
   10,209x = 268,304,400
5. Step 5: Solve for x
   x = 268,304,400/10,209
6. Step 6: Final answer
   x = 26,281.16