Finding the Third Proportional to 7,704 and 17,976

Step by Step Solution

1. Step 1: Write the proportion equation
   7,704 : 17,976 = 17,976 : x
2. Step 2: Convert to fraction form
   7,704/17,976 = 17,976/x
3. Step 3: Cross multiply
   7,704x = 17,976 × 17,976
4. Step 4: Simplify right side
   7,704x = 323,136,576
5. Step 5: Solve for x
   x = 323,136,576/7,704
6. Step 6: Final answer
   x = 41,944