Finding the Third Proportional to 6,804 and 10,459

Step by Step Solution

1. Step 1: Write the proportion equation
   6,804 : 10,459 = 10,459 : x
2. Step 2: Convert to fraction form
   6,804/10,459 = 10,459/x
3. Step 3: Cross multiply
   6,804x = 10,459 × 10,459
4. Step 4: Simplify right side
   6,804x = 109,390,681
5. Step 5: Solve for x
   x = 109,390,681/6,804
6. Step 6: Final answer
   x = 16,077.41