Finding the Third Proportional to 10,280.25 and 14,556.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280.25 : 14,556.38 = 14,556.38 : x
2. Step 2: Convert to fraction form
   10,280.25/14,556.38 = 14,556.38/x
3. Step 3: Cross multiply
   10,280.25x = 14,556.38 × 14,556.38
4. Step 4: Simplify right side
   10,280.25x = 211,888,053.14
5. Step 5: Solve for x
   x = 211,888,053.14/10,280.25
6. Step 6: Final answer
   x = 20,611.18