Finding the Third Proportional to 17,514 and 23,678

Step by Step Solution

1. Step 1: Write the proportion equation
   17,514 : 23,678 = 23,678 : x
2. Step 2: Convert to fraction form
   17,514/23,678 = 23,678/x
3. Step 3: Cross multiply
   17,514x = 23,678 × 23,678
4. Step 4: Simplify right side
   17,514x = 560,647,684
5. Step 5: Solve for x
   x = 560,647,684/17,514
6. Step 6: Final answer
   x = 32,011.40