Finding the Third Proportional to 8,896 and 12,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,896 : 12,884.50 = 12,884.50 : x
2. Step 2: Convert to fraction form
   8,896/12,884.50 = 12,884.50/x
3. Step 3: Cross multiply
   8,896x = 12,884.50 × 12,884.50
4. Step 4: Simplify right side
   8,896x = 166,010,340.25
5. Step 5: Solve for x
   x = 166,010,340.25/8,896
6. Step 6: Final answer
   x = 18,661.23