Finding the Third Proportional to 6,296 and 12,280

Step by Step Solution

1. Step 1: Write the proportion equation
   6,296 : 12,280 = 12,280 : x
2. Step 2: Convert to fraction form
   6,296/12,280 = 12,280/x
3. Step 3: Cross multiply
   6,296x = 12,280 × 12,280
4. Step 4: Simplify right side
   6,296x = 150,798,400
5. Step 5: Solve for x
   x = 150,798,400/6,296
6. Step 6: Final answer
   x = 23,951.46