Finding the Third Proportional to 1,002 and 2,084

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002 : 2,084 = 2,084 : x
2. Step 2: Convert to fraction form
   1,002/2,084 = 2,084/x
3. Step 3: Cross multiply
   1,002x = 2,084 × 2,084
4. Step 4: Simplify right side
   1,002x = 4,343,056
5. Step 5: Solve for x
   x = 4,343,056/1,002
6. Step 6: Final answer
   x = 4,334.39