Finding the Third Proportional to 12,853.50 and 20,369.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.50 : 20,369.25 = 20,369.25 : x
2. Step 2: Convert to fraction form
   12,853.50/20,369.25 = 20,369.25/x
3. Step 3: Cross multiply
   12,853.50x = 20,369.25 × 20,369.25
4. Step 4: Simplify right side
   12,853.50x = 414,906,345.56
5. Step 5: Solve for x
   x = 414,906,345.56/12,853.50
6. Step 6: Final answer
   x = 32,279.64