Finding the Third Proportional to 1,540 and 1,976

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540 : 1,976 = 1,976 : x
2. Step 2: Convert to fraction form
   1,540/1,976 = 1,976/x
3. Step 3: Cross multiply
   1,540x = 1,976 × 1,976
4. Step 4: Simplify right side
   1,540x = 3,904,576
5. Step 5: Solve for x
   x = 3,904,576/1,540
6. Step 6: Final answer
   x = 2,535.44