Finding the Third Proportional to 10,489.50 and 17,121.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,489.50 : 17,121.38 = 17,121.38 : x
2. Step 2: Convert to fraction form
   10,489.50/17,121.38 = 17,121.38/x
3. Step 3: Cross multiply
   10,489.50x = 17,121.38 × 17,121.38
4. Step 4: Simplify right side
   10,489.50x = 293,141,481.89
5. Step 5: Solve for x
   x = 293,141,481.89/10,489.50
6. Step 6: Final answer
   x = 27,946.18