Finding the Third Proportional to 7,850 and 10,771

Step by Step Solution

1. Step 1: Write the proportion equation
   7,850 : 10,771 = 10,771 : x
2. Step 2: Convert to fraction form
   7,850/10,771 = 10,771/x
3. Step 3: Cross multiply
   7,850x = 10,771 × 10,771
4. Step 4: Simplify right side
   7,850x = 116,014,441
5. Step 5: Solve for x
   x = 116,014,441/7,850
6. Step 6: Final answer
   x = 14,778.91