Finding the Third Proportional to 6,193 and 12,688

Step by Step Solution

1. Step 1: Write the proportion equation
   6,193 : 12,688 = 12,688 : x
2. Step 2: Convert to fraction form
   6,193/12,688 = 12,688/x
3. Step 3: Cross multiply
   6,193x = 12,688 × 12,688
4. Step 4: Simplify right side
   6,193x = 160,985,344
5. Step 5: Solve for x
   x = 160,985,344/6,193
6. Step 6: Final answer
   x = 25,994.73