Finding the Third Proportional to 2,588 and 4,012

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588 : 4,012 = 4,012 : x
2. Step 2: Convert to fraction form
   2,588/4,012 = 4,012/x
3. Step 3: Cross multiply
   2,588x = 4,012 × 4,012
4. Step 4: Simplify right side
   2,588x = 16,096,144
5. Step 5: Solve for x
   x = 16,096,144/2,588
6. Step 6: Final answer
   x = 6,219.53