Finding the Third Proportional to 9,879.50 and 13,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,879.50 : 13,896.50 = 13,896.50 : x
2. Step 2: Convert to fraction form
   9,879.50/13,896.50 = 13,896.50/x
3. Step 3: Cross multiply
   9,879.50x = 13,896.50 × 13,896.50
4. Step 4: Simplify right side
   9,879.50x = 193,112,712.25
5. Step 5: Solve for x
   x = 193,112,712.25/9,879.50
6. Step 6: Final answer
   x = 19,546.81