Finding the Third Proportional to 3,490 and 8,002

Step by Step Solution

1. Step 1: Write the proportion equation
   3,490 : 8,002 = 8,002 : x
2. Step 2: Convert to fraction form
   3,490/8,002 = 8,002/x
3. Step 3: Cross multiply
   3,490x = 8,002 × 8,002
4. Step 4: Simplify right side
   3,490x = 64,032,004
5. Step 5: Solve for x
   x = 64,032,004/3,490
6. Step 6: Final answer
   x = 18,347.28