Finding the Third Proportional to 20,198 and 31,003

Step by Step Solution

1. Step 1: Write the proportion equation
   20,198 : 31,003 = 31,003 : x
2. Step 2: Convert to fraction form
   20,198/31,003 = 31,003/x
3. Step 3: Cross multiply
   20,198x = 31,003 × 31,003
4. Step 4: Simplify right side
   20,198x = 961,186,009
5. Step 5: Solve for x
   x = 961,186,009/20,198
6. Step 6: Final answer
   x = 47,588.18