Finding the Third Proportional to 9,198 and 19,746

Step by Step Solution

1. Step 1: Write the proportion equation
   9,198 : 19,746 = 19,746 : x
2. Step 2: Convert to fraction form
   9,198/19,746 = 19,746/x
3. Step 3: Cross multiply
   9,198x = 19,746 × 19,746
4. Step 4: Simplify right side
   9,198x = 389,904,516
5. Step 5: Solve for x
   x = 389,904,516/9,198
6. Step 6: Final answer
   x = 42,390.14