Finding the Third Proportional to 7,744 and 12,008

Step by Step Solution

1. Step 1: Write the proportion equation
   7,744 : 12,008 = 12,008 : x
2. Step 2: Convert to fraction form
   7,744/12,008 = 12,008/x
3. Step 3: Cross multiply
   7,744x = 12,008 × 12,008
4. Step 4: Simplify right side
   7,744x = 144,192,064
5. Step 5: Solve for x
   x = 144,192,064/7,744
6. Step 6: Final answer
   x = 18,619.84