Finding the Third Proportional to 35,228 and 73,366

Step by Step Solution

1. Step 1: Write the proportion equation
   35,228 : 73,366 = 73,366 : x
2. Step 2: Convert to fraction form
   35,228/73,366 = 73,366/x
3. Step 3: Cross multiply
   35,228x = 73,366 × 73,366
4. Step 4: Simplify right side
   35,228x = 5,382,569,956
5. Step 5: Solve for x
   x = 5,382,569,956/35,228
6. Step 6: Final answer
   x = 152,792.38