Finding the Third Proportional to 5,806 and 12,590

Step by Step Solution

1. Step 1: Write the proportion equation
   5,806 : 12,590 = 12,590 : x
2. Step 2: Convert to fraction form
   5,806/12,590 = 12,590/x
3. Step 3: Cross multiply
   5,806x = 12,590 × 12,590
4. Step 4: Simplify right side
   5,806x = 158,508,100
5. Step 5: Solve for x
   x = 158,508,100/5,806
6. Step 6: Final answer
   x = 27,300.74