Finding the Third Proportional to 13,227.75 and 20,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,227.75 : 20,524.50 = 20,524.50 : x
2. Step 2: Convert to fraction form
   13,227.75/20,524.50 = 20,524.50/x
3. Step 3: Cross multiply
   13,227.75x = 20,524.50 × 20,524.50
4. Step 4: Simplify right side
   13,227.75x = 421,255,100.25
5. Step 5: Solve for x
   x = 421,255,100.25/13,227.75
6. Step 6: Final answer
   x = 31,846.32