Finding the Third Proportional to 12,986 and 25,627

Step by Step Solution

1. Step 1: Write the proportion equation
   12,986 : 25,627 = 25,627 : x
2. Step 2: Convert to fraction form
   12,986/25,627 = 25,627/x
3. Step 3: Cross multiply
   12,986x = 25,627 × 25,627
4. Step 4: Simplify right side
   12,986x = 656,743,129
5. Step 5: Solve for x
   x = 656,743,129/12,986
6. Step 6: Final answer
   x = 50,573.17