Finding the Third Proportional to 31,771 and 69,075

Step by Step Solution

1. Step 1: Write the proportion equation
   31,771 : 69,075 = 69,075 : x
2. Step 2: Convert to fraction form
   31,771/69,075 = 69,075/x
3. Step 3: Cross multiply
   31,771x = 69,075 × 69,075
4. Step 4: Simplify right side
   31,771x = 4,771,355,625
5. Step 5: Solve for x
   x = 4,771,355,625/31,771
6. Step 6: Final answer
   x = 150,179.59