Finding the Third Proportional to 6,512 and 10,574

Step by Step Solution

1. Step 1: Write the proportion equation
   6,512 : 10,574 = 10,574 : x
2. Step 2: Convert to fraction form
   6,512/10,574 = 10,574/x
3. Step 3: Cross multiply
   6,512x = 10,574 × 10,574
4. Step 4: Simplify right side
   6,512x = 111,809,476
5. Step 5: Solve for x
   x = 111,809,476/6,512
6. Step 6: Final answer
   x = 17,169.76