Finding the Third Proportional to 10,396 and 17,002

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396 : 17,002 = 17,002 : x
2. Step 2: Convert to fraction form
   10,396/17,002 = 17,002/x
3. Step 3: Cross multiply
   10,396x = 17,002 × 17,002
4. Step 4: Simplify right side
   10,396x = 289,068,004
5. Step 5: Solve for x
   x = 289,068,004/10,396
6. Step 6: Final answer
   x = 27,805.69