Finding the Third Proportional to 11,196 and 16,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,196 : 16,735.50 = 16,735.50 : x
2. Step 2: Convert to fraction form
   11,196/16,735.50 = 16,735.50/x
3. Step 3: Cross multiply
   11,196x = 16,735.50 × 16,735.50
4. Step 4: Simplify right side
   11,196x = 280,076,960.25
5. Step 5: Solve for x
   x = 280,076,960.25/11,196
6. Step 6: Final answer
   x = 25,015.81