Finding the Third Proportional to 35,237 and 72,802

Step by Step Solution

1. Step 1: Write the proportion equation
   35,237 : 72,802 = 72,802 : x
2. Step 2: Convert to fraction form
   35,237/72,802 = 72,802/x
3. Step 3: Cross multiply
   35,237x = 72,802 × 72,802
4. Step 4: Simplify right side
   35,237x = 5,300,131,204
5. Step 5: Solve for x
   x = 5,300,131,204/35,237
6. Step 6: Final answer
   x = 150,413.80