Finding the Third Proportional to 7,825.36 and 17,142.89

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.36 : 17,142.89 = 17,142.89 : x
2. Step 2: Convert to fraction form
   7,825.36/17,142.89 = 17,142.89/x
3. Step 3: Cross multiply
   7,825.36x = 17,142.89 × 17,142.89
4. Step 4: Simplify right side
   7,825.36x = 293,878,698.98
5. Step 5: Solve for x
   x = 293,878,698.98/7,825.36
6. Step 6: Final answer
   x = 37,554.66