Finding the Third Proportional to 6,769 and 10,507

Step by Step Solution

1. Step 1: Write the proportion equation
   6,769 : 10,507 = 10,507 : x
2. Step 2: Convert to fraction form
   6,769/10,507 = 10,507/x
3. Step 3: Cross multiply
   6,769x = 10,507 × 10,507
4. Step 4: Simplify right side
   6,769x = 110,397,049
5. Step 5: Solve for x
   x = 110,397,049/6,769
6. Step 6: Final answer
   x = 16,309.21