Finding the Third Proportional to 10,874 and 17,283

Step by Step Solution

1. Step 1: Write the proportion equation
   10,874 : 17,283 = 17,283 : x
2. Step 2: Convert to fraction form
   10,874/17,283 = 17,283/x
3. Step 3: Cross multiply
   10,874x = 17,283 × 17,283
4. Step 4: Simplify right side
   10,874x = 298,702,089
5. Step 5: Solve for x
   x = 298,702,089/10,874
6. Step 6: Final answer
   x = 27,469.38