Finding the Third Proportional to 2,566 and 5,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566 : 5,996.50 = 5,996.50 : x
2. Step 2: Convert to fraction form
   2,566/5,996.50 = 5,996.50/x
3. Step 3: Cross multiply
   2,566x = 5,996.50 × 5,996.50
4. Step 4: Simplify right side
   2,566x = 35,958,012.25
5. Step 5: Solve for x
   x = 35,958,012.25/2,566
6. Step 6: Final answer
   x = 14,013.25