Finding the Third Proportional to 8,020 and 17,563

Step by Step Solution

1. Step 1: Write the proportion equation
   8,020 : 17,563 = 17,563 : x
2. Step 2: Convert to fraction form
   8,020/17,563 = 17,563/x
3. Step 3: Cross multiply
   8,020x = 17,563 × 17,563
4. Step 4: Simplify right side
   8,020x = 308,458,969
5. Step 5: Solve for x
   x = 308,458,969/8,020
6. Step 6: Final answer
   x = 38,461.22