Finding the Third Proportional to 10,208 and 19,168

Step by Step Solution

1. Step 1: Write the proportion equation
   10,208 : 19,168 = 19,168 : x
2. Step 2: Convert to fraction form
   10,208/19,168 = 19,168/x
3. Step 3: Cross multiply
   10,208x = 19,168 × 19,168
4. Step 4: Simplify right side
   10,208x = 367,412,224
5. Step 5: Solve for x
   x = 367,412,224/10,208
6. Step 6: Final answer
   x = 35,992.58