Finding the Third Proportional to 5,913.75 and 12,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,913.75 : 12,724.50 = 12,724.50 : x
2. Step 2: Convert to fraction form
   5,913.75/12,724.50 = 12,724.50/x
3. Step 3: Cross multiply
   5,913.75x = 12,724.50 × 12,724.50
4. Step 4: Simplify right side
   5,913.75x = 161,912,900.25
5. Step 5: Solve for x
   x = 161,912,900.25/5,913.75
6. Step 6: Final answer
   x = 27,379.06