Finding the Third Proportional to 6,406 and 12,470

Step by Step Solution

1. Step 1: Write the proportion equation
   6,406 : 12,470 = 12,470 : x
2. Step 2: Convert to fraction form
   6,406/12,470 = 12,470/x
3. Step 3: Cross multiply
   6,406x = 12,470 × 12,470
4. Step 4: Simplify right side
   6,406x = 155,500,900
5. Step 5: Solve for x
   x = 155,500,900/6,406
6. Step 6: Final answer
   x = 24,274.26