Finding the Third Proportional to 8,041.50 and 10,806.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,041.50 : 10,806.75 = 10,806.75 : x
2. Step 2: Convert to fraction form
   8,041.50/10,806.75 = 10,806.75/x
3. Step 3: Cross multiply
   8,041.50x = 10,806.75 × 10,806.75
4. Step 4: Simplify right side
   8,041.50x = 116,785,845.56
5. Step 5: Solve for x
   x = 116,785,845.56/8,041.50
6. Step 6: Final answer
   x = 14,522.89