Finding the Third Proportional to 6,228 and 13,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,228 : 13,223.25 = 13,223.25 : x
2. Step 2: Convert to fraction form
   6,228/13,223.25 = 13,223.25/x
3. Step 3: Cross multiply
   6,228x = 13,223.25 × 13,223.25
4. Step 4: Simplify right side
   6,228x = 174,854,340.56
5. Step 5: Solve for x
   x = 174,854,340.56/6,228
6. Step 6: Final answer
   x = 28,075.52