Finding the Third Proportional to 6,434 and 12,564

Step by Step Solution

1. Step 1: Write the proportion equation
   6,434 : 12,564 = 12,564 : x
2. Step 2: Convert to fraction form
   6,434/12,564 = 12,564/x
3. Step 3: Cross multiply
   6,434x = 12,564 × 12,564
4. Step 4: Simplify right side
   6,434x = 157,854,096
5. Step 5: Solve for x
   x = 157,854,096/6,434
6. Step 6: Final answer
   x = 24,534.36