Finding the Third Proportional to 30,794 and 65,799

Step by Step Solution

1. Step 1: Write the proportion equation
   30,794 : 65,799 = 65,799 : x
2. Step 2: Convert to fraction form
   30,794/65,799 = 65,799/x
3. Step 3: Cross multiply
   30,794x = 65,799 × 65,799
4. Step 4: Simplify right side
   30,794x = 4,329,508,401
5. Step 5: Solve for x
   x = 4,329,508,401/30,794
6. Step 6: Final answer
   x = 140,595.84