Finding the Third Proportional to 35,705 and 73,570

Step by Step Solution

1. Step 1: Write the proportion equation
   35,705 : 73,570 = 73,570 : x
2. Step 2: Convert to fraction form
   35,705/73,570 = 73,570/x
3. Step 3: Cross multiply
   35,705x = 73,570 × 73,570
4. Step 4: Simplify right side
   35,705x = 5,412,544,900
5. Step 5: Solve for x
   x = 5,412,544,900/35,705
6. Step 6: Final answer
   x = 151,590.67