Finding the Third Proportional to 10,196 and 19,144

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196 : 19,144 = 19,144 : x
2. Step 2: Convert to fraction form
   10,196/19,144 = 19,144/x
3. Step 3: Cross multiply
   10,196x = 19,144 × 19,144
4. Step 4: Simplify right side
   10,196x = 366,492,736
5. Step 5: Solve for x
   x = 366,492,736/10,196
6. Step 6: Final answer
   x = 35,944.76