Finding the Third Proportional to 35,208 and 72,739

Step by Step Solution

1. Step 1: Write the proportion equation
   35,208 : 72,739 = 72,739 : x
2. Step 2: Convert to fraction form
   35,208/72,739 = 72,739/x
3. Step 3: Cross multiply
   35,208x = 72,739 × 72,739
4. Step 4: Simplify right side
   35,208x = 5,290,962,121
5. Step 5: Solve for x
   x = 5,290,962,121/35,208
6. Step 6: Final answer
   x = 150,277.27