Finding the Third Proportional to 8,547 and 10,419

Step by Step Solution

1. Step 1: Write the proportion equation
   8,547 : 10,419 = 10,419 : x
2. Step 2: Convert to fraction form
   8,547/10,419 = 10,419/x
3. Step 3: Cross multiply
   8,547x = 10,419 × 10,419
4. Step 4: Simplify right side
   8,547x = 108,555,561
5. Step 5: Solve for x
   x = 108,555,561/8,547
6. Step 6: Final answer
   x = 12,701.01