Finding the Third Proportional to 3,741.82 and 8,175.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,741.82 : 8,175.62 = 8,175.62 : x
2. Step 2: Convert to fraction form
   3,741.82/8,175.62 = 8,175.62/x
3. Step 3: Cross multiply
   3,741.82x = 8,175.62 × 8,175.62
4. Step 4: Simplify right side
   3,741.82x = 66,840,780.27
5. Step 5: Solve for x
   x = 66,840,780.27/3,741.82
6. Step 6: Final answer
   x = 17,863.17