Finding the Third Proportional to 6,561 and 14,256

Step by Step Solution

1. Step 1: Write the proportion equation
   6,561 : 14,256 = 14,256 : x
2. Step 2: Convert to fraction form
   6,561/14,256 = 14,256/x
3. Step 3: Cross multiply
   6,561x = 14,256 × 14,256
4. Step 4: Simplify right side
   6,561x = 203,233,536
5. Step 5: Solve for x
   x = 203,233,536/6,561
6. Step 6: Final answer
   x = 30,976