Finding the Third Proportional to 10,709.69 and 23,206.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,709.69 : 23,206.81 = 23,206.81 : x
2. Step 2: Convert to fraction form
   10,709.69/23,206.81 = 23,206.81/x
3. Step 3: Cross multiply
   10,709.69x = 23,206.81 × 23,206.81
4. Step 4: Simplify right side
   10,709.69x = 538,556,146.41
5. Step 5: Solve for x
   x = 538,556,146.41/10,709.69
6. Step 6: Final answer
   x = 50,286.82