Finding the Third Proportional to 3,563.16 and 7,741.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,563.16 : 7,741.41 = 7,741.41 : x
2. Step 2: Convert to fraction form
   3,563.16/7,741.41 = 7,741.41/x
3. Step 3: Cross multiply
   3,563.16x = 7,741.41 × 7,741.41
4. Step 4: Simplify right side
   3,563.16x = 59,929,370.73
5. Step 5: Solve for x
   x = 59,929,370.73/3,563.16
6. Step 6: Final answer
   x = 16,819.18