Finding the Third Proportional to 12,586 and 25,556

Step by Step Solution

1. Step 1: Write the proportion equation
   12,586 : 25,556 = 25,556 : x
2. Step 2: Convert to fraction form
   12,586/25,556 = 25,556/x
3. Step 3: Cross multiply
   12,586x = 25,556 × 25,556
4. Step 4: Simplify right side
   12,586x = 653,109,136
5. Step 5: Solve for x
   x = 653,109,136/12,586
6. Step 6: Final answer
   x = 51,891.72