Finding the Third Proportional to 2,020 and 3,490

Step by Step Solution

1. Step 1: Write the proportion equation
   2,020 : 3,490 = 3,490 : x
2. Step 2: Convert to fraction form
   2,020/3,490 = 3,490/x
3. Step 3: Cross multiply
   2,020x = 3,490 × 3,490
4. Step 4: Simplify right side
   2,020x = 12,180,100
5. Step 5: Solve for x
   x = 12,180,100/2,020
6. Step 6: Final answer
   x = 6,029.75