Finding the Third Proportional to 4,900 and 5,968

Step by Step Solution

1. Step 1: Write the proportion equation
   4,900 : 5,968 = 5,968 : x
2. Step 2: Convert to fraction form
   4,900/5,968 = 5,968/x
3. Step 3: Cross multiply
   4,900x = 5,968 × 5,968
4. Step 4: Simplify right side
   4,900x = 35,617,024
5. Step 5: Solve for x
   x = 35,617,024/4,900
6. Step 6: Final answer
   x = 7,268.78