Finding the Third Proportional to 11,864 and 17,196

Step by Step Solution

1. Step 1: Write the proportion equation
   11,864 : 17,196 = 17,196 : x
2. Step 2: Convert to fraction form
   11,864/17,196 = 17,196/x
3. Step 3: Cross multiply
   11,864x = 17,196 × 17,196
4. Step 4: Simplify right side
   11,864x = 295,702,416
5. Step 5: Solve for x
   x = 295,702,416/11,864
6. Step 6: Final answer
   x = 24,924.34