Finding the Third Proportional to 17,644 and 25,976

Step by Step Solution

1. Step 1: Write the proportion equation
   17,644 : 25,976 = 25,976 : x
2. Step 2: Convert to fraction form
   17,644/25,976 = 25,976/x
3. Step 3: Cross multiply
   17,644x = 25,976 × 25,976
4. Step 4: Simplify right side
   17,644x = 674,752,576
5. Step 5: Solve for x
   x = 674,752,576/17,644
6. Step 6: Final answer
   x = 38,242.61