Finding the Third Proportional to 8,147.25 and 17,767.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,147.25 : 17,767.69 = 17,767.69 : x
2. Step 2: Convert to fraction form
   8,147.25/17,767.69 = 17,767.69/x
3. Step 3: Cross multiply
   8,147.25x = 17,767.69 × 17,767.69
4. Step 4: Simplify right side
   8,147.25x = 315,690,719.10
5. Step 5: Solve for x
   x = 315,690,719.10/8,147.25
6. Step 6: Final answer
   x = 38,748.13