Finding the Third Proportional to 10,671.75 and 17,278.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,671.75 : 17,278.31 = 17,278.31 : x
2. Step 2: Convert to fraction form
   10,671.75/17,278.31 = 17,278.31/x
3. Step 3: Cross multiply
   10,671.75x = 17,278.31 × 17,278.31
4. Step 4: Simplify right side
   10,671.75x = 298,540,082.85
5. Step 5: Solve for x
   x = 298,540,082.85/10,671.75
6. Step 6: Final answer
   x = 27,974.80