Finding the Third Proportional to 10,671.75 and 16,738.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,671.75 : 16,738.31 = 16,738.31 : x
2. Step 2: Convert to fraction form
   10,671.75/16,738.31 = 16,738.31/x
3. Step 3: Cross multiply
   10,671.75x = 16,738.31 × 16,738.31
4. Step 4: Simplify right side
   10,671.75x = 280,171,105.35
5. Step 5: Solve for x
   x = 280,171,105.35/10,671.75
6. Step 6: Final answer
   x = 26,253.53