Finding the Third Proportional to 2,524 and 5,889

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524 : 5,889 = 5,889 : x
2. Step 2: Convert to fraction form
   2,524/5,889 = 5,889/x
3. Step 3: Cross multiply
   2,524x = 5,889 × 5,889
4. Step 4: Simplify right side
   2,524x = 34,680,321
5. Step 5: Solve for x
   x = 34,680,321/2,524
6. Step 6: Final answer
   x = 13,740.22