Finding the Third Proportional to 8,034 and 10,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,034 : 10,819.50 = 10,819.50 : x
2. Step 2: Convert to fraction form
   8,034/10,819.50 = 10,819.50/x
3. Step 3: Cross multiply
   8,034x = 10,819.50 × 10,819.50
4. Step 4: Simplify right side
   8,034x = 117,061,580.25
5. Step 5: Solve for x
   x = 117,061,580.25/8,034
6. Step 6: Final answer
   x = 14,570.77