Finding the Third Proportional to 10,767.94 and 16,546.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,767.94 : 16,546.78 = 16,546.78 : x
2. Step 2: Convert to fraction form
   10,767.94/16,546.78 = 16,546.78/x
3. Step 3: Cross multiply
   10,767.94x = 16,546.78 × 16,546.78
4. Step 4: Simplify right side
   10,767.94x = 273,795,969.74
5. Step 5: Solve for x
   x = 273,795,969.74/10,767.94
6. Step 6: Final answer
   x = 25,426.96