Finding the Third Proportional to 13,223.25 and 20,518.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,223.25 : 20,518.31 = 20,518.31 : x
2. Step 2: Convert to fraction form
   13,223.25/20,518.31 = 20,518.31/x
3. Step 3: Cross multiply
   13,223.25x = 20,518.31 × 20,518.31
4. Step 4: Simplify right side
   13,223.25x = 421,001,147.85
5. Step 5: Solve for x
   x = 421,001,147.85/13,223.25
6. Step 6: Final answer
   x = 31,837.95