Finding the Third Proportional to 19,640 and 30,338

Step by Step Solution

1. Step 1: Write the proportion equation
   19,640 : 30,338 = 30,338 : x
2. Step 2: Convert to fraction form
   19,640/30,338 = 30,338/x
3. Step 3: Cross multiply
   19,640x = 30,338 × 30,338
4. Step 4: Simplify right side
   19,640x = 920,394,244
5. Step 5: Solve for x
   x = 920,394,244/19,640
6. Step 6: Final answer
   x = 46,863.25