Finding the Third Proportional to 12,174.75 and 13,227.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,174.75 : 13,227.75 = 13,227.75 : x
2. Step 2: Convert to fraction form
   12,174.75/13,227.75 = 13,227.75/x
3. Step 3: Cross multiply
   12,174.75x = 13,227.75 × 13,227.75
4. Step 4: Simplify right side
   12,174.75x = 174,973,370.06
5. Step 5: Solve for x
   x = 174,973,370.06/12,174.75
6. Step 6: Final answer
   x = 14,371.82