Finding the Third Proportional to 8,072.16 and 17,441.42

Step by Step Solution

1. Step 1: Write the proportion equation
   8,072.16 : 17,441.42 = 17,441.42 : x
2. Step 2: Convert to fraction form
   8,072.16/17,441.42 = 17,441.42/x
3. Step 3: Cross multiply
   8,072.16x = 17,441.42 × 17,441.42
4. Step 4: Simplify right side
   8,072.16x = 304,203,128.89
5. Step 5: Solve for x
   x = 304,203,128.89/8,072.16
6. Step 6: Final answer
   x = 37,685.49