Finding the Third Proportional to 9,864 and 13,291

Step by Step Solution

1. Step 1: Write the proportion equation
   9,864 : 13,291 = 13,291 : x
2. Step 2: Convert to fraction form
   9,864/13,291 = 13,291/x
3. Step 3: Cross multiply
   9,864x = 13,291 × 13,291
4. Step 4: Simplify right side
   9,864x = 176,650,681
5. Step 5: Solve for x
   x = 176,650,681/9,864
6. Step 6: Final answer
   x = 17,908.63