Finding the Third Proportional to 7,976.50 and 17,561

Step by Step Solution

1. Step 1: Write the proportion equation
   7,976.50 : 17,561 = 17,561 : x
2. Step 2: Convert to fraction form
   7,976.50/17,561 = 17,561/x
3. Step 3: Cross multiply
   7,976.50x = 17,561 × 17,561
4. Step 4: Simplify right side
   7,976.50x = 308,388,721
5. Step 5: Solve for x
   x = 308,388,721/7,976.50
6. Step 6: Final answer
   x = 38,662.16