Finding the Third Proportional to 11,022 and 19,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,022 : 19,456.50 = 19,456.50 : x
2. Step 2: Convert to fraction form
   11,022/19,456.50 = 19,456.50/x
3. Step 3: Cross multiply
   11,022x = 19,456.50 × 19,456.50
4. Step 4: Simplify right side
   11,022x = 378,555,392.25
5. Step 5: Solve for x
   x = 378,555,392.25/11,022
6. Step 6: Final answer
   x = 34,345.44