Finding the Third Proportional to 5,866 and 12,764

Step by Step Solution

1. Step 1: Write the proportion equation
   5,866 : 12,764 = 12,764 : x
2. Step 2: Convert to fraction form
   5,866/12,764 = 12,764/x
3. Step 3: Cross multiply
   5,866x = 12,764 × 12,764
4. Step 4: Simplify right side
   5,866x = 162,919,696
5. Step 5: Solve for x
   x = 162,919,696/5,866
6. Step 6: Final answer
   x = 27,773.56