Finding the Third Proportional to 13,419.50 and 18,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,419.50 : 18,223.25 = 18,223.25 : x
2. Step 2: Convert to fraction form
   13,419.50/18,223.25 = 18,223.25/x
3. Step 3: Cross multiply
   13,419.50x = 18,223.25 × 18,223.25
4. Step 4: Simplify right side
   13,419.50x = 332,086,840.56
5. Step 5: Solve for x
   x = 332,086,840.56/13,419.50
6. Step 6: Final answer
   x = 24,746.59