Finding the Third Proportional to 17,668 and 37,256

Step by Step Solution

1. Step 1: Write the proportion equation
   17,668 : 37,256 = 37,256 : x
2. Step 2: Convert to fraction form
   17,668/37,256 = 37,256/x
3. Step 3: Cross multiply
   17,668x = 37,256 × 37,256
4. Step 4: Simplify right side
   17,668x = 1,388,009,536
5. Step 5: Solve for x
   x = 1,388,009,536/17,668
6. Step 6: Final answer
   x = 78,560.65