Finding the Third Proportional to 8,036 and 17,630

Step by Step Solution

1. Step 1: Write the proportion equation
   8,036 : 17,630 = 17,630 : x
2. Step 2: Convert to fraction form
   8,036/17,630 = 17,630/x
3. Step 3: Cross multiply
   8,036x = 17,630 × 17,630
4. Step 4: Simplify right side
   8,036x = 310,816,900
5. Step 5: Solve for x
   x = 310,816,900/8,036
6. Step 6: Final answer
   x = 38,678.06