Finding the Third Proportional to 5,866 and 12,710

Step by Step Solution

1. Step 1: Write the proportion equation
   5,866 : 12,710 = 12,710 : x
2. Step 2: Convert to fraction form
   5,866/12,710 = 12,710/x
3. Step 3: Cross multiply
   5,866x = 12,710 × 12,710
4. Step 4: Simplify right side
   5,866x = 161,544,100
5. Step 5: Solve for x
   x = 161,544,100/5,866
6. Step 6: Final answer
   x = 27,539.06