Finding the Third Proportional to 7,180 and 10,866

Step by Step Solution

1. Step 1: Write the proportion equation
   7,180 : 10,866 = 10,866 : x
2. Step 2: Convert to fraction form
   7,180/10,866 = 10,866/x
3. Step 3: Cross multiply
   7,180x = 10,866 × 10,866
4. Step 4: Simplify right side
   7,180x = 118,069,956
5. Step 5: Solve for x
   x = 118,069,956/7,180
6. Step 6: Final answer
   x = 16,444.28