Finding the Third Proportional to 8,205.75 and 17,896.31

Step by Step Solution

1. Step 1: Write the proportion equation
   8,205.75 : 17,896.31 = 17,896.31 : x
2. Step 2: Convert to fraction form
   8,205.75/17,896.31 = 17,896.31/x
3. Step 3: Cross multiply
   8,205.75x = 17,896.31 × 17,896.31
4. Step 4: Simplify right side
   8,205.75x = 320,278,001.10
5. Step 5: Solve for x
   x = 320,278,001.10/8,205.75
6. Step 6: Final answer
   x = 39,030.92