Finding the Third Proportional to 6,512 and 14,162

Step by Step Solution

1. Step 1: Write the proportion equation
   6,512 : 14,162 = 14,162 : x
2. Step 2: Convert to fraction form
   6,512/14,162 = 14,162/x
3. Step 3: Cross multiply
   6,512x = 14,162 × 14,162
4. Step 4: Simplify right side
   6,512x = 200,562,244
5. Step 5: Solve for x
   x = 200,562,244/6,512
6. Step 6: Final answer
   x = 30,798.87