Finding the Third Proportional to 8,003 and 17,561

Step by Step Solution

1. Step 1: Write the proportion equation
   8,003 : 17,561 = 17,561 : x
2. Step 2: Convert to fraction form
   8,003/17,561 = 17,561/x
3. Step 3: Cross multiply
   8,003x = 17,561 × 17,561
4. Step 4: Simplify right side
   8,003x = 308,388,721
5. Step 5: Solve for x
   x = 308,388,721/8,003
6. Step 6: Final answer
   x = 38,534.14