Finding the Third Proportional to 8,147.25 and 17,823.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,147.25 : 17,823.38 = 17,823.38 : x
2. Step 2: Convert to fraction form
   8,147.25/17,823.38 = 17,823.38/x
3. Step 3: Cross multiply
   8,147.25x = 17,823.38 × 17,823.38
4. Step 4: Simplify right side
   8,147.25x = 317,672,696.39
5. Step 5: Solve for x
   x = 317,672,696.39/8,147.25
6. Step 6: Final answer
   x = 38,991.40