Finding the Third Proportional to 21,006 and 31,949

Step by Step Solution

1. Step 1: Write the proportion equation
   21,006 : 31,949 = 31,949 : x
2. Step 2: Convert to fraction form
   21,006/31,949 = 31,949/x
3. Step 3: Cross multiply
   21,006x = 31,949 × 31,949
4. Step 4: Simplify right side
   21,006x = 1,020,738,601
5. Step 5: Solve for x
   x = 1,020,738,601/21,006
6. Step 6: Final answer
   x = 48,592.72