Finding the Third Proportional to 30,796 and 65,804

Step by Step Solution

1. Step 1: Write the proportion equation
   30,796 : 65,804 = 65,804 : x
2. Step 2: Convert to fraction form
   30,796/65,804 = 65,804/x
3. Step 3: Cross multiply
   30,796x = 65,804 × 65,804
4. Step 4: Simplify right side
   30,796x = 4,330,166,416
5. Step 5: Solve for x
   x = 4,330,166,416/30,796
6. Step 6: Final answer
   x = 140,608.08