Finding the Third Proportional to 1,540 and 1,766

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540 : 1,766 = 1,766 : x
2. Step 2: Convert to fraction form
   1,540/1,766 = 1,766/x
3. Step 3: Cross multiply
   1,540x = 1,766 × 1,766
4. Step 4: Simplify right side
   1,540x = 3,118,756
5. Step 5: Solve for x
   x = 3,118,756/1,540
6. Step 6: Final answer
   x = 2,025.17