Finding the Third Proportional to 5,986.50 and 12,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,986.50 : 12,274.50 = 12,274.50 : x
2. Step 2: Convert to fraction form
   5,986.50/12,274.50 = 12,274.50/x
3. Step 3: Cross multiply
   5,986.50x = 12,274.50 × 12,274.50
4. Step 4: Simplify right side
   5,986.50x = 150,663,350.25
5. Step 5: Solve for x
   x = 150,663,350.25/5,986.50
6. Step 6: Final answer
   x = 25,167.18