Finding the Third Proportional to 35,050 and 75,020

Step by Step Solution

1. Step 1: Write the proportion equation
   35,050 : 75,020 = 75,020 : x
2. Step 2: Convert to fraction form
   35,050/75,020 = 75,020/x
3. Step 3: Cross multiply
   35,050x = 75,020 × 75,020
4. Step 4: Simplify right side
   35,050x = 5,628,000,400
5. Step 5: Solve for x
   x = 5,628,000,400/35,050
6. Step 6: Final answer
   x = 160,570.62