Finding the Third Proportional to 5,806 and 12,182

Step by Step Solution

1. Step 1: Write the proportion equation
   5,806 : 12,182 = 12,182 : x
2. Step 2: Convert to fraction form
   5,806/12,182 = 12,182/x
3. Step 3: Cross multiply
   5,806x = 12,182 × 12,182
4. Step 4: Simplify right side
   5,806x = 148,401,124
5. Step 5: Solve for x
   x = 148,401,124/5,806
6. Step 6: Final answer
   x = 25,559.96