Finding the Third Proportional to 8,205.75 and 17,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,205.75 : 17,581.50 = 17,581.50 : x
2. Step 2: Convert to fraction form
   8,205.75/17,581.50 = 17,581.50/x
3. Step 3: Cross multiply
   8,205.75x = 17,581.50 × 17,581.50
4. Step 4: Simplify right side
   8,205.75x = 309,109,142.25
5. Step 5: Solve for x
   x = 309,109,142.25/8,205.75
6. Step 6: Final answer
   x = 37,669.82