Finding the Third Proportional to 2,522 and 2,770

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522 : 2,770 = 2,770 : x
2. Step 2: Convert to fraction form
   2,522/2,770 = 2,770/x
3. Step 3: Cross multiply
   2,522x = 2,770 × 2,770
4. Step 4: Simplify right side
   2,522x = 7,672,900
5. Step 5: Solve for x
   x = 7,672,900/2,522
6. Step 6: Final answer
   x = 3,042.39