Finding the Third Proportional to 30,794 and 65,800

Step by Step Solution

1. Step 1: Write the proportion equation
   30,794 : 65,800 = 65,800 : x
2. Step 2: Convert to fraction form
   30,794/65,800 = 65,800/x
3. Step 3: Cross multiply
   30,794x = 65,800 × 65,800
4. Step 4: Simplify right side
   30,794x = 4,329,640,000
5. Step 5: Solve for x
   x = 4,329,640,000/30,794
6. Step 6: Final answer
   x = 140,600.12