Finding the Third Proportional to 8,214.75 and 17,661.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,214.75 : 17,661.38 = 17,661.38 : x
2. Step 2: Convert to fraction form
   8,214.75/17,661.38 = 17,661.38/x
3. Step 3: Cross multiply
   8,214.75x = 17,661.38 × 17,661.38
4. Step 4: Simplify right side
   8,214.75x = 311,924,166.89
5. Step 5: Solve for x
   x = 311,924,166.89/8,214.75
6. Step 6: Final answer
   x = 37,971.23