Finding the Third Proportional to 35,228 and 72,785

Step by Step Solution

1. Step 1: Write the proportion equation
   35,228 : 72,785 = 72,785 : x
2. Step 2: Convert to fraction form
   35,228/72,785 = 72,785/x
3. Step 3: Cross multiply
   35,228x = 72,785 × 72,785
4. Step 4: Simplify right side
   35,228x = 5,297,656,225
5. Step 5: Solve for x
   x = 5,297,656,225/35,228
6. Step 6: Final answer
   x = 150,381.98