Finding the Third Proportional to 6,280 and 12,734

Step by Step Solution

1. Step 1: Write the proportion equation
   6,280 : 12,734 = 12,734 : x
2. Step 2: Convert to fraction form
   6,280/12,734 = 12,734/x
3. Step 3: Cross multiply
   6,280x = 12,734 × 12,734
4. Step 4: Simplify right side
   6,280x = 162,154,756
5. Step 5: Solve for x
   x = 162,154,756/6,280
6. Step 6: Final answer
   x = 25,820.82