Finding the Third Proportional to 1,540 and 2,870

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540 : 2,870 = 2,870 : x
2. Step 2: Convert to fraction form
   1,540/2,870 = 2,870/x
3. Step 3: Cross multiply
   1,540x = 2,870 × 2,870
4. Step 4: Simplify right side
   1,540x = 8,236,900
5. Step 5: Solve for x
   x = 8,236,900/1,540
6. Step 6: Final answer
   x = 5,348.64