Finding the Third Proportional to 11,157 and 16,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,157 : 16,738.50 = 16,738.50 : x
2. Step 2: Convert to fraction form
   11,157/16,738.50 = 16,738.50/x
3. Step 3: Cross multiply
   11,157x = 16,738.50 × 16,738.50
4. Step 4: Simplify right side
   11,157x = 280,177,382.25
5. Step 5: Solve for x
   x = 280,177,382.25/11,157
6. Step 6: Final answer
   x = 25,112.25