Finding the Third Proportional to 8,383.50 and 10,914.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,383.50 : 10,914.75 = 10,914.75 : x
2. Step 2: Convert to fraction form
   8,383.50/10,914.75 = 10,914.75/x
3. Step 3: Cross multiply
   8,383.50x = 10,914.75 × 10,914.75
4. Step 4: Simplify right side
   8,383.50x = 119,131,767.56
5. Step 5: Solve for x
   x = 119,131,767.56/8,383.50
6. Step 6: Final answer
   x = 14,210.27