Finding the Third Proportional to 33,075 and 69,390

Step by Step Solution

1. Step 1: Write the proportion equation
   33,075 : 69,390 = 69,390 : x
2. Step 2: Convert to fraction form
   33,075/69,390 = 69,390/x
3. Step 3: Cross multiply
   33,075x = 69,390 × 69,390
4. Step 4: Simplify right side
   33,075x = 4,814,972,100
5. Step 5: Solve for x
   x = 4,814,972,100/33,075
6. Step 6: Final answer
   x = 145,577.39