Finding the Third Proportional to 5,738.25 and 12,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,738.25 : 12,165.50 = 12,165.50 : x
2. Step 2: Convert to fraction form
   5,738.25/12,165.50 = 12,165.50/x
3. Step 3: Cross multiply
   5,738.25x = 12,165.50 × 12,165.50
4. Step 4: Simplify right side
   5,738.25x = 147,999,390.25
5. Step 5: Solve for x
   x = 147,999,390.25/5,738.25
6. Step 6: Final answer
   x = 25,791.73