Finding the Third Proportional to 12,830.25 and 20,369.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,830.25 : 20,369.25 = 20,369.25 : x
2. Step 2: Convert to fraction form
   12,830.25/20,369.25 = 20,369.25/x
3. Step 3: Cross multiply
   12,830.25x = 20,369.25 × 20,369.25
4. Step 4: Simplify right side
   12,830.25x = 414,906,345.56
5. Step 5: Solve for x
   x = 414,906,345.56/12,830.25
6. Step 6: Final answer
   x = 32,338.13