Finding the Third Proportional to 9,794 and 19,094

Step by Step Solution

1. Step 1: Write the proportion equation
   9,794 : 19,094 = 19,094 : x
2. Step 2: Convert to fraction form
   9,794/19,094 = 19,094/x
3. Step 3: Cross multiply
   9,794x = 19,094 × 19,094
4. Step 4: Simplify right side
   9,794x = 364,580,836
5. Step 5: Solve for x
   x = 364,580,836/9,794
6. Step 6: Final answer
   x = 37,224.92