Finding the Third Proportional to 2,020 and 2,112

Step by Step Solution

1. Step 1: Write the proportion equation
   2,020 : 2,112 = 2,112 : x
2. Step 2: Convert to fraction form
   2,020/2,112 = 2,112/x
3. Step 3: Cross multiply
   2,020x = 2,112 × 2,112
4. Step 4: Simplify right side
   2,020x = 4,460,544
5. Step 5: Solve for x
   x = 4,460,544/2,020
6. Step 6: Final answer
   x = 2,208.19