Finding the Third Proportional to 1,540 and 2,384

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540 : 2,384 = 2,384 : x
2. Step 2: Convert to fraction form
   1,540/2,384 = 2,384/x
3. Step 3: Cross multiply
   1,540x = 2,384 × 2,384
4. Step 4: Simplify right side
   1,540x = 5,683,456
5. Step 5: Solve for x
   x = 5,683,456/1,540
6. Step 6: Final answer
   x = 3,690.56