Finding the Third Proportional to 30,832 and 65,504

Step by Step Solution

1. Step 1: Write the proportion equation
   30,832 : 65,504 = 65,504 : x
2. Step 2: Convert to fraction form
   30,832/65,504 = 65,504/x
3. Step 3: Cross multiply
   30,832x = 65,504 × 65,504
4. Step 4: Simplify right side
   30,832x = 4,290,774,016
5. Step 5: Solve for x
   x = 4,290,774,016/30,832
6. Step 6: Final answer
   x = 139,166.26