Finding the Third Proportional to 11,314.69 and 18,533.81

Step by Step Solution

1. Step 1: Write the proportion equation
   11,314.69 : 18,533.81 = 18,533.81 : x
2. Step 2: Convert to fraction form
   11,314.69/18,533.81 = 18,533.81/x
3. Step 3: Cross multiply
   11,314.69x = 18,533.81 × 18,533.81
4. Step 4: Simplify right side
   11,314.69x = 343,502,205.79
5. Step 5: Solve for x
   x = 343,502,205.79/11,314.69
6. Step 6: Final answer
   x = 30,358.97