Finding the Third Proportional to 35,738.09 and 76,226.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,738.09 : 76,226.06 = 76,226.06 : x
2. Step 2: Convert to fraction form
   35,738.09/76,226.06 = 76,226.06/x
3. Step 3: Cross multiply
   35,738.09x = 76,226.06 × 76,226.06
4. Step 4: Simplify right side
   35,738.09x = 5,810,412,604.25
5. Step 5: Solve for x
   x = 5,810,412,604.25/35,738.09
6. Step 6: Final answer
   x = 162,583.21