Finding the Third Proportional to 30,776 and 65,648

Step by Step Solution

1. Step 1: Write the proportion equation
   30,776 : 65,648 = 65,648 : x
2. Step 2: Convert to fraction form
   30,776/65,648 = 65,648/x
3. Step 3: Cross multiply
   30,776x = 65,648 × 65,648
4. Step 4: Simplify right side
   30,776x = 4,309,659,904
5. Step 5: Solve for x
   x = 4,309,659,904/30,776
6. Step 6: Final answer
   x = 140,033.14