Finding the Third Proportional to 10,828 and 17,124

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 17,124 = 17,124 : x
2. Step 2: Convert to fraction form
   10,828/17,124 = 17,124/x
3. Step 3: Cross multiply
   10,828x = 17,124 × 17,124
4. Step 4: Simplify right side
   10,828x = 293,231,376
5. Step 5: Solve for x
   x = 293,231,376/10,828
6. Step 6: Final answer
   x = 27,080.84