Finding the Third Proportional to 6,238 and 12,656

Step by Step Solution

1. Step 1: Write the proportion equation
   6,238 : 12,656 = 12,656 : x
2. Step 2: Convert to fraction form
   6,238/12,656 = 12,656/x
3. Step 3: Cross multiply
   6,238x = 12,656 × 12,656
4. Step 4: Simplify right side
   6,238x = 160,174,336
5. Step 5: Solve for x
   x = 160,174,336/6,238
6. Step 6: Final answer
   x = 25,677.19