Finding the Third Proportional to 7,682 and 17,002

Step by Step Solution

1. Step 1: Write the proportion equation
   7,682 : 17,002 = 17,002 : x
2. Step 2: Convert to fraction form
   7,682/17,002 = 17,002/x
3. Step 3: Cross multiply
   7,682x = 17,002 × 17,002
4. Step 4: Simplify right side
   7,682x = 289,068,004
5. Step 5: Solve for x
   x = 289,068,004/7,682
6. Step 6: Final answer
   x = 37,629.26