Finding the Third Proportional to 10,906 and 17,298

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906 : 17,298 = 17,298 : x
2. Step 2: Convert to fraction form
   10,906/17,298 = 17,298/x
3. Step 3: Cross multiply
   10,906x = 17,298 × 17,298
4. Step 4: Simplify right side
   10,906x = 299,220,804
5. Step 5: Solve for x
   x = 299,220,804/10,906
6. Step 6: Final answer
   x = 27,436.35