Finding the Third Proportional to 9,388 and 10,198

Step by Step Solution

1. Step 1: Write the proportion equation
   9,388 : 10,198 = 10,198 : x
2. Step 2: Convert to fraction form
   9,388/10,198 = 10,198/x
3. Step 3: Cross multiply
   9,388x = 10,198 × 10,198
4. Step 4: Simplify right side
   9,388x = 103,999,204
5. Step 5: Solve for x
   x = 103,999,204/9,388
6. Step 6: Final answer
   x = 11,077.89