Finding the Third Proportional to 2,570 and 2,810

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570 : 2,810 = 2,810 : x
2. Step 2: Convert to fraction form
   2,570/2,810 = 2,810/x
3. Step 3: Cross multiply
   2,570x = 2,810 × 2,810
4. Step 4: Simplify right side
   2,570x = 7,896,100
5. Step 5: Solve for x
   x = 7,896,100/2,570
6. Step 6: Final answer
   x = 3,072.41