Finding the Third Proportional to 6,302 and 12,446

Step by Step Solution

1. Step 1: Write the proportion equation
   6,302 : 12,446 = 12,446 : x
2. Step 2: Convert to fraction form
   6,302/12,446 = 12,446/x
3. Step 3: Cross multiply
   6,302x = 12,446 × 12,446
4. Step 4: Simplify right side
   6,302x = 154,902,916
5. Step 5: Solve for x
   x = 154,902,916/6,302
6. Step 6: Final answer
   x = 24,579.96