Finding the Third Proportional to 10,576 and 17,320

Step by Step Solution

1. Step 1: Write the proportion equation
   10,576 : 17,320 = 17,320 : x
2. Step 2: Convert to fraction form
   10,576/17,320 = 17,320/x
3. Step 3: Cross multiply
   10,576x = 17,320 × 17,320
4. Step 4: Simplify right side
   10,576x = 299,982,400
5. Step 5: Solve for x
   x = 299,982,400/10,576
6. Step 6: Final answer
   x = 28,364.45