Finding the Third Proportional to 6,910 and 10,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,910 : 10,771.50 = 10,771.50 : x
2. Step 2: Convert to fraction form
   6,910/10,771.50 = 10,771.50/x
3. Step 3: Cross multiply
   6,910x = 10,771.50 × 10,771.50
4. Step 4: Simplify right side
   6,910x = 116,025,212.25
5. Step 5: Solve for x
   x = 116,025,212.25/6,910
6. Step 6: Final answer
   x = 16,790.91