Finding the Third Proportional to 17,840 and 25,842

Step by Step Solution

1. Step 1: Write the proportion equation
   17,840 : 25,842 = 25,842 : x
2. Step 2: Convert to fraction form
   17,840/25,842 = 25,842/x
3. Step 3: Cross multiply
   17,840x = 25,842 × 25,842
4. Step 4: Simplify right side
   17,840x = 667,808,964
5. Step 5: Solve for x
   x = 667,808,964/17,840
6. Step 6: Final answer
   x = 37,433.24