Finding the Third Proportional to 10,780.50 and 17,211.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.50 : 17,211.38 = 17,211.38 : x
2. Step 2: Convert to fraction form
   10,780.50/17,211.38 = 17,211.38/x
3. Step 3: Cross multiply
   10,780.50x = 17,211.38 × 17,211.38
4. Step 4: Simplify right side
   10,780.50x = 296,231,429.39
5. Step 5: Solve for x
   x = 296,231,429.39/10,780.50
6. Step 6: Final answer
   x = 27,478.45