Finding the Third Proportional to 6,434 and 14,945

Step by Step Solution

1. Step 1: Write the proportion equation
   6,434 : 14,945 = 14,945 : x
2. Step 2: Convert to fraction form
   6,434/14,945 = 14,945/x
3. Step 3: Cross multiply
   6,434x = 14,945 × 14,945
4. Step 4: Simplify right side
   6,434x = 223,353,025
5. Step 5: Solve for x
   x = 223,353,025/6,434
6. Step 6: Final answer
   x = 34,714.49