Finding the Third Proportional to 20,294 and 30,698

Step by Step Solution

1. Step 1: Write the proportion equation
   20,294 : 30,698 = 30,698 : x
2. Step 2: Convert to fraction form
   20,294/30,698 = 30,698/x
3. Step 3: Cross multiply
   20,294x = 30,698 × 30,698
4. Step 4: Simplify right side
   20,294x = 942,367,204
5. Step 5: Solve for x
   x = 942,367,204/20,294
6. Step 6: Final answer
   x = 46,435.75