Finding the Third Proportional to 6,789 and 10,710

Step by Step Solution

1. Step 1: Write the proportion equation
   6,789 : 10,710 = 10,710 : x
2. Step 2: Convert to fraction form
   6,789/10,710 = 10,710/x
3. Step 3: Cross multiply
   6,789x = 10,710 × 10,710
4. Step 4: Simplify right side
   6,789x = 114,704,100
5. Step 5: Solve for x
   x = 114,704,100/6,789
6. Step 6: Final answer
   x = 16,895.58