Finding the Third Proportional to 7,678 and 17,004

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678 : 17,004 = 17,004 : x
2. Step 2: Convert to fraction form
   7,678/17,004 = 17,004/x
3. Step 3: Cross multiply
   7,678x = 17,004 × 17,004
4. Step 4: Simplify right side
   7,678x = 289,136,016
5. Step 5: Solve for x
   x = 289,136,016/7,678
6. Step 6: Final answer
   x = 37,657.73