Finding the Third Proportional to 3,780.42 and 8,205.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.42 : 8,205.05 = 8,205.05 : x
2. Step 2: Convert to fraction form
   3,780.42/8,205.05 = 8,205.05/x
3. Step 3: Cross multiply
   3,780.42x = 8,205.05 × 8,205.05
4. Step 4: Simplify right side
   3,780.42x = 67,322,794.22
5. Step 5: Solve for x
   x = 67,322,794.22/3,780.42
6. Step 6: Final answer
   x = 17,808.28