Finding the Third Proportional to 10,084 and 16,790

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084 : 16,790 = 16,790 : x
2. Step 2: Convert to fraction form
   10,084/16,790 = 16,790/x
3. Step 3: Cross multiply
   10,084x = 16,790 × 16,790
4. Step 4: Simplify right side
   10,084x = 281,904,100
5. Step 5: Solve for x
   x = 281,904,100/10,084
6. Step 6: Final answer
   x = 27,955.58