Finding the Third Proportional to 6,093 and 12,647

Step by Step Solution

1. Step 1: Write the proportion equation
   6,093 : 12,647 = 12,647 : x
2. Step 2: Convert to fraction form
   6,093/12,647 = 12,647/x
3. Step 3: Cross multiply
   6,093x = 12,647 × 12,647
4. Step 4: Simplify right side
   6,093x = 159,946,609
5. Step 5: Solve for x
   x = 159,946,609/6,093
6. Step 6: Final answer
   x = 26,250.88