Finding the Third Proportional to 30,608 and 65,884

Step by Step Solution

1. Step 1: Write the proportion equation
   30,608 : 65,884 = 65,884 : x
2. Step 2: Convert to fraction form
   30,608/65,884 = 65,884/x
3. Step 3: Cross multiply
   30,608x = 65,884 × 65,884
4. Step 4: Simplify right side
   30,608x = 4,340,701,456
5. Step 5: Solve for x
   x = 4,340,701,456/30,608
6. Step 6: Final answer
   x = 141,815.91