Finding the Third Proportional to 30,896 and 67,456

Step by Step Solution

1. Step 1: Write the proportion equation
   30,896 : 67,456 = 67,456 : x
2. Step 2: Convert to fraction form
   30,896/67,456 = 67,456/x
3. Step 3: Cross multiply
   30,896x = 67,456 × 67,456
4. Step 4: Simplify right side
   30,896x = 4,550,311,936
5. Step 5: Solve for x
   x = 4,550,311,936/30,896
6. Step 6: Final answer
   x = 147,278.35