Finding the Third Proportional to 1,965.50 and 3,962

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.50 : 3,962 = 3,962 : x
2. Step 2: Convert to fraction form
   1,965.50/3,962 = 3,962/x
3. Step 3: Cross multiply
   1,965.50x = 3,962 × 3,962
4. Step 4: Simplify right side
   1,965.50x = 15,697,444
5. Step 5: Solve for x
   x = 15,697,444/1,965.50
6. Step 6: Final answer
   x = 7,986.49