Finding the Third Proportional to 9,764 and 19,042

Step by Step Solution

1. Step 1: Write the proportion equation
   9,764 : 19,042 = 19,042 : x
2. Step 2: Convert to fraction form
   9,764/19,042 = 19,042/x
3. Step 3: Cross multiply
   9,764x = 19,042 × 19,042
4. Step 4: Simplify right side
   9,764x = 362,597,764
5. Step 5: Solve for x
   x = 362,597,764/9,764
6. Step 6: Final answer
   x = 37,136.19