Finding the Third Proportional to 9,783 and 13,979.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783 : 13,979.25 = 13,979.25 : x
2. Step 2: Convert to fraction form
   9,783/13,979.25 = 13,979.25/x
3. Step 3: Cross multiply
   9,783x = 13,979.25 × 13,979.25
4. Step 4: Simplify right side
   9,783x = 195,419,430.56
5. Step 5: Solve for x
   x = 195,419,430.56/9,783
6. Step 6: Final answer
   x = 19,975.41