Finding the Third Proportional to 34,304 and 51,456

Step by Step Solution

1. Step 1: Write the proportion equation
   34,304 : 51,456 = 51,456 : x
2. Step 2: Convert to fraction form
   34,304/51,456 = 51,456/x
3. Step 3: Cross multiply
   34,304x = 51,456 × 51,456
4. Step 4: Simplify right side
   34,304x = 2,647,719,936
5. Step 5: Solve for x
   x = 2,647,719,936/34,304
6. Step 6: Final answer
   x = 77,184