Finding the Third Proportional to 17,409 and 37,922

Step by Step Solution

1. Step 1: Write the proportion equation
   17,409 : 37,922 = 37,922 : x
2. Step 2: Convert to fraction form
   17,409/37,922 = 37,922/x
3. Step 3: Cross multiply
   17,409x = 37,922 × 37,922
4. Step 4: Simplify right side
   17,409x = 1,438,078,084
5. Step 5: Solve for x
   x = 1,438,078,084/17,409
6. Step 6: Final answer
   x = 82,605.44