Finding the Third Proportional to 37,075 and 76,741

Step by Step Solution

1. Step 1: Write the proportion equation
   37,075 : 76,741 = 76,741 : x
2. Step 2: Convert to fraction form
   37,075/76,741 = 76,741/x
3. Step 3: Cross multiply
   37,075x = 76,741 × 76,741
4. Step 4: Simplify right side
   37,075x = 5,889,181,081
5. Step 5: Solve for x
   x = 5,889,181,081/37,075
6. Step 6: Final answer
   x = 158,845.07