Finding the Third Proportional to 30,456 and 34,968

Step by Step Solution

1. Step 1: Write the proportion equation
   30,456 : 34,968 = 34,968 : x
2. Step 2: Convert to fraction form
   30,456/34,968 = 34,968/x
3. Step 3: Cross multiply
   30,456x = 34,968 × 34,968
4. Step 4: Simplify right side
   30,456x = 1,222,761,024
5. Step 5: Solve for x
   x = 1,222,761,024/30,456
6. Step 6: Final answer
   x = 40,148.44