Finding the Third Proportional to 1,969.50 and 4,002

Step by Step Solution

1. Step 1: Write the proportion equation
   1,969.50 : 4,002 = 4,002 : x
2. Step 2: Convert to fraction form
   1,969.50/4,002 = 4,002/x
3. Step 3: Cross multiply
   1,969.50x = 4,002 × 4,002
4. Step 4: Simplify right side
   1,969.50x = 16,016,004
5. Step 5: Solve for x
   x = 16,016,004/1,969.50
6. Step 6: Final answer
   x = 8,132.02