Finding the Third Proportional to 33,538 and 71,075

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538 : 71,075 = 71,075 : x
2. Step 2: Convert to fraction form
   33,538/71,075 = 71,075/x
3. Step 3: Cross multiply
   33,538x = 71,075 × 71,075
4. Step 4: Simplify right side
   33,538x = 5,051,655,625
5. Step 5: Solve for x
   x = 5,051,655,625/33,538
6. Step 6: Final answer
   x = 150,624.83