Finding the Third Proportional to 2,588 and 5,429

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588 : 5,429 = 5,429 : x
2. Step 2: Convert to fraction form
   2,588/5,429 = 5,429/x
3. Step 3: Cross multiply
   2,588x = 5,429 × 5,429
4. Step 4: Simplify right side
   2,588x = 29,474,041
5. Step 5: Solve for x
   x = 29,474,041/2,588
6. Step 6: Final answer
   x = 11,388.73