Finding the Third Proportional to 12,102 and 17,949

Step by Step Solution

1. Step 1: Write the proportion equation
   12,102 : 17,949 = 17,949 : x
2. Step 2: Convert to fraction form
   12,102/17,949 = 17,949/x
3. Step 3: Cross multiply
   12,102x = 17,949 × 17,949
4. Step 4: Simplify right side
   12,102x = 322,166,601
5. Step 5: Solve for x
   x = 322,166,601/12,102
6. Step 6: Final answer
   x = 26,620.94