Finding the Third Proportional to 17,842 and 25,843

Step by Step Solution

1. Step 1: Write the proportion equation
   17,842 : 25,843 = 25,843 : x
2. Step 2: Convert to fraction form
   17,842/25,843 = 25,843/x
3. Step 3: Cross multiply
   17,842x = 25,843 × 25,843
4. Step 4: Simplify right side
   17,842x = 667,860,649
5. Step 5: Solve for x
   x = 667,860,649/17,842
6. Step 6: Final answer
   x = 37,431.94