Finding the Third Proportional to 6,871 and 13,195

Step by Step Solution

1. Step 1: Write the proportion equation
   6,871 : 13,195 = 13,195 : x
2. Step 2: Convert to fraction form
   6,871/13,195 = 13,195/x
3. Step 3: Cross multiply
   6,871x = 13,195 × 13,195
4. Step 4: Simplify right side
   6,871x = 174,108,025
5. Step 5: Solve for x
   x = 174,108,025/6,871
6. Step 6: Final answer
   x = 25,339.55