Finding the Third Proportional to 17,514 and 25,695

Step by Step Solution

1. Step 1: Write the proportion equation
   17,514 : 25,695 = 25,695 : x
2. Step 2: Convert to fraction form
   17,514/25,695 = 25,695/x
3. Step 3: Cross multiply
   17,514x = 25,695 × 25,695
4. Step 4: Simplify right side
   17,514x = 660,233,025
5. Step 5: Solve for x
   x = 660,233,025/17,514
6. Step 6: Final answer
   x = 37,697.44