Finding the Third Proportional to 9,850 and 19,208

Step by Step Solution

1. Step 1: Write the proportion equation
   9,850 : 19,208 = 19,208 : x
2. Step 2: Convert to fraction form
   9,850/19,208 = 19,208/x
3. Step 3: Cross multiply
   9,850x = 19,208 × 19,208
4. Step 4: Simplify right side
   9,850x = 368,947,264
5. Step 5: Solve for x
   x = 368,947,264/9,850
6. Step 6: Final answer
   x = 37,456.58