Finding the Third Proportional to 35,739.75 and 76,229.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,739.75 : 76,229.25 = 76,229.25 : x
2. Step 2: Convert to fraction form
   35,739.75/76,229.25 = 76,229.25/x
3. Step 3: Cross multiply
   35,739.75x = 76,229.25 × 76,229.25
4. Step 4: Simplify right side
   35,739.75x = 5,810,898,555.56
5. Step 5: Solve for x
   x = 5,810,898,555.56/35,739.75
6. Step 6: Final answer
   x = 162,589.23