Finding the Third Proportional to 3,982.50 and 8,663.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,982.50 : 8,663.63 = 8,663.63 : x
2. Step 2: Convert to fraction form
   3,982.50/8,663.63 = 8,663.63/x
3. Step 3: Cross multiply
   3,982.50x = 8,663.63 × 8,663.63
4. Step 4: Simplify right side
   3,982.50x = 75,058,398.14
5. Step 5: Solve for x
   x = 75,058,398.14/3,982.50
6. Step 6: Final answer
   x = 18,847.06