Finding the Third Proportional to 9,194 and 19,036

Step by Step Solution

1. Step 1: Write the proportion equation
   9,194 : 19,036 = 19,036 : x
2. Step 2: Convert to fraction form
   9,194/19,036 = 19,036/x
3. Step 3: Cross multiply
   9,194x = 19,036 × 19,036
4. Step 4: Simplify right side
   9,194x = 362,369,296
5. Step 5: Solve for x
   x = 362,369,296/9,194
6. Step 6: Final answer
   x = 39,413.67