Finding the Third Proportional to 3,632 and 3,968

Step by Step Solution

1. Step 1: Write the proportion equation
   3,632 : 3,968 = 3,968 : x
2. Step 2: Convert to fraction form
   3,632/3,968 = 3,968/x
3. Step 3: Cross multiply
   3,632x = 3,968 × 3,968
4. Step 4: Simplify right side
   3,632x = 15,745,024
5. Step 5: Solve for x
   x = 15,745,024/3,632
6. Step 6: Final answer
   x = 4,335.08