Finding the Third Proportional to 14,206 and 31,004

Step by Step Solution

1. Step 1: Write the proportion equation
   14,206 : 31,004 = 31,004 : x
2. Step 2: Convert to fraction form
   14,206/31,004 = 31,004/x
3. Step 3: Cross multiply
   14,206x = 31,004 × 31,004
4. Step 4: Simplify right side
   14,206x = 961,248,016
5. Step 5: Solve for x
   x = 961,248,016/14,206
6. Step 6: Final answer
   x = 67,664.93