Finding the Third Proportional to 16,519 and 35,630

Step by Step Solution

1. Step 1: Write the proportion equation
   16,519 : 35,630 = 35,630 : x
2. Step 2: Convert to fraction form
   16,519/35,630 = 35,630/x
3. Step 3: Cross multiply
   16,519x = 35,630 × 35,630
4. Step 4: Simplify right side
   16,519x = 1,269,496,900
5. Step 5: Solve for x
   x = 1,269,496,900/16,519
6. Step 6: Final answer
   x = 76,850.71