Finding the Third Proportional to 6,339.50 and 12,871

Step by Step Solution

1. Step 1: Write the proportion equation
   6,339.50 : 12,871 = 12,871 : x
2. Step 2: Convert to fraction form
   6,339.50/12,871 = 12,871/x
3. Step 3: Cross multiply
   6,339.50x = 12,871 × 12,871
4. Step 4: Simplify right side
   6,339.50x = 165,662,641
5. Step 5: Solve for x
   x = 165,662,641/6,339.50
6. Step 6: Final answer
   x = 26,131.81