Finding the Third Proportional to 6,972 and 10,075

Step by Step Solution

1. Step 1: Write the proportion equation
   6,972 : 10,075 = 10,075 : x
2. Step 2: Convert to fraction form
   6,972/10,075 = 10,075/x
3. Step 3: Cross multiply
   6,972x = 10,075 × 10,075
4. Step 4: Simplify right side
   6,972x = 101,505,625
5. Step 5: Solve for x
   x = 101,505,625/6,972
6. Step 6: Final answer
   x = 14,559.04