Finding the Third Proportional to 12,277 and 25,647

Step by Step Solution

1. Step 1: Write the proportion equation
   12,277 : 25,647 = 25,647 : x
2. Step 2: Convert to fraction form
   12,277/25,647 = 25,647/x
3. Step 3: Cross multiply
   12,277x = 25,647 × 25,647
4. Step 4: Simplify right side
   12,277x = 657,768,609
5. Step 5: Solve for x
   x = 657,768,609/12,277
6. Step 6: Final answer
   x = 53,577.31