Finding the Third Proportional to 13,228 and 17,762

Step by Step Solution

1. Step 1: Write the proportion equation
   13,228 : 17,762 = 17,762 : x
2. Step 2: Convert to fraction form
   13,228/17,762 = 17,762/x
3. Step 3: Cross multiply
   13,228x = 17,762 × 17,762
4. Step 4: Simplify right side
   13,228x = 315,488,644
5. Step 5: Solve for x
   x = 315,488,644/13,228
6. Step 6: Final answer
   x = 23,850.06