Finding the Third Proportional to 6,771 and 12,075

Step by Step Solution

1. Step 1: Write the proportion equation
   6,771 : 12,075 = 12,075 : x
2. Step 2: Convert to fraction form
   6,771/12,075 = 12,075/x
3. Step 3: Cross multiply
   6,771x = 12,075 × 12,075
4. Step 4: Simplify right side
   6,771x = 145,805,625
5. Step 5: Solve for x
   x = 145,805,625/6,771
6. Step 6: Final answer
   x = 21,533.84