Finding the Third Proportional to 8,196 and 12,897

Step by Step Solution

1. Step 1: Write the proportion equation
   8,196 : 12,897 = 12,897 : x
2. Step 2: Convert to fraction form
   8,196/12,897 = 12,897/x
3. Step 3: Cross multiply
   8,196x = 12,897 × 12,897
4. Step 4: Simplify right side
   8,196x = 166,332,609
5. Step 5: Solve for x
   x = 166,332,609/8,196
6. Step 6: Final answer
   x = 20,294.36