Finding the Third Proportional to 35,119 and 76,809

Step by Step Solution

1. Step 1: Write the proportion equation
   35,119 : 76,809 = 76,809 : x
2. Step 2: Convert to fraction form
   35,119/76,809 = 76,809/x
3. Step 3: Cross multiply
   35,119x = 76,809 × 76,809
4. Step 4: Simplify right side
   35,119x = 5,899,622,481
5. Step 5: Solve for x
   x = 5,899,622,481/35,119
6. Step 6: Final answer
   x = 167,989.48