Finding the Third Proportional to 10,828 and 17,168

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 17,168 = 17,168 : x
2. Step 2: Convert to fraction form
   10,828/17,168 = 17,168/x
3. Step 3: Cross multiply
   10,828x = 17,168 × 17,168
4. Step 4: Simplify right side
   10,828x = 294,740,224
5. Step 5: Solve for x
   x = 294,740,224/10,828
6. Step 6: Final answer
   x = 27,220.19