Finding the Third Proportional to 2,814.75 and 7,563.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,814.75 : 7,563.38 = 7,563.38 : x
2. Step 2: Convert to fraction form
   2,814.75/7,563.38 = 7,563.38/x
3. Step 3: Cross multiply
   2,814.75x = 7,563.38 × 7,563.38
4. Step 4: Simplify right side
   2,814.75x = 57,204,641.39
5. Step 5: Solve for x
   x = 57,204,641.39/2,814.75
6. Step 6: Final answer
   x = 20,323.17