Finding the Third Proportional to 3,729.25 and 8,042.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,729.25 : 8,042.38 = 8,042.38 : x
2. Step 2: Convert to fraction form
   3,729.25/8,042.38 = 8,042.38/x
3. Step 3: Cross multiply
   3,729.25x = 8,042.38 × 8,042.38
4. Step 4: Simplify right side
   3,729.25x = 64,679,795.64
5. Step 5: Solve for x
   x = 64,679,795.64/3,729.25
6. Step 6: Final answer
   x = 17,343.92