Finding the Third Proportional to 30,780 and 65,772

Step by Step Solution

1. Step 1: Write the proportion equation
   30,780 : 65,772 = 65,772 : x
2. Step 2: Convert to fraction form
   30,780/65,772 = 65,772/x
3. Step 3: Cross multiply
   30,780x = 65,772 × 65,772
4. Step 4: Simplify right side
   30,780x = 4,325,955,984
5. Step 5: Solve for x
   x = 4,325,955,984/30,780
6. Step 6: Final answer
   x = 140,544.38