Finding the Third Proportional to 13,223.25 and 19,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,223.25 : 19,743.75 = 19,743.75 : x
2. Step 2: Convert to fraction form
   13,223.25/19,743.75 = 19,743.75/x
3. Step 3: Cross multiply
   13,223.25x = 19,743.75 × 19,743.75
4. Step 4: Simplify right side
   13,223.25x = 389,815,664.06
5. Step 5: Solve for x
   x = 389,815,664.06/13,223.25
6. Step 6: Final answer
   x = 29,479.57