Finding the Third Proportional to 7,119 and 10,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,119 : 10,771.50 = 10,771.50 : x
2. Step 2: Convert to fraction form
   7,119/10,771.50 = 10,771.50/x
3. Step 3: Cross multiply
   7,119x = 10,771.50 × 10,771.50
4. Step 4: Simplify right side
   7,119x = 116,025,212.25
5. Step 5: Solve for x
   x = 116,025,212.25/7,119
6. Step 6: Final answer
   x = 16,297.96