Finding the Third Proportional to 9,155.25 and 18,456.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,155.25 : 18,456.75 = 18,456.75 : x
2. Step 2: Convert to fraction form
   9,155.25/18,456.75 = 18,456.75/x
3. Step 3: Cross multiply
   9,155.25x = 18,456.75 × 18,456.75
4. Step 4: Simplify right side
   9,155.25x = 340,651,620.56
5. Step 5: Solve for x
   x = 340,651,620.56/9,155.25
6. Step 6: Final answer
   x = 37,208.34