Finding the Third Proportional to 6,198 and 12,897.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,198 : 12,897.38 = 12,897.38 : x
2. Step 2: Convert to fraction form
   6,198/12,897.38 = 12,897.38/x
3. Step 3: Cross multiply
   6,198x = 12,897.38 × 12,897.38
4. Step 4: Simplify right side
   6,198x = 166,342,281.89
5. Step 5: Solve for x
   x = 166,342,281.89/6,198
6. Step 6: Final answer
   x = 26,838.06