Finding the Third Proportional to 2,588 and 2,820

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588 : 2,820 = 2,820 : x
2. Step 2: Convert to fraction form
   2,588/2,820 = 2,820/x
3. Step 3: Cross multiply
   2,588x = 2,820 × 2,820
4. Step 4: Simplify right side
   2,588x = 7,952,400
5. Step 5: Solve for x
   x = 7,952,400/2,588
6. Step 6: Final answer
   x = 3,072.80