Finding the Third Proportional to 2,022 and 2,210

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022 : 2,210 = 2,210 : x
2. Step 2: Convert to fraction form
   2,022/2,210 = 2,210/x
3. Step 3: Cross multiply
   2,022x = 2,210 × 2,210
4. Step 4: Simplify right side
   2,022x = 4,884,100
5. Step 5: Solve for x
   x = 4,884,100/2,022
6. Step 6: Final answer
   x = 2,415.48