Finding the Third Proportional to 17,478 and 31,006

Step by Step Solution

1. Step 1: Write the proportion equation
   17,478 : 31,006 = 31,006 : x
2. Step 2: Convert to fraction form
   17,478/31,006 = 31,006/x
3. Step 3: Cross multiply
   17,478x = 31,006 × 31,006
4. Step 4: Simplify right side
   17,478x = 961,372,036
5. Step 5: Solve for x
   x = 961,372,036/17,478
6. Step 6: Final answer
   x = 55,004.69