Finding the Third Proportional to 30,608 and 65,680

Step by Step Solution

1. Step 1: Write the proportion equation
   30,608 : 65,680 = 65,680 : x
2. Step 2: Convert to fraction form
   30,608/65,680 = 65,680/x
3. Step 3: Cross multiply
   30,608x = 65,680 × 65,680
4. Step 4: Simplify right side
   30,608x = 4,313,862,400
5. Step 5: Solve for x
   x = 4,313,862,400/30,608
6. Step 6: Final answer
   x = 140,939.05