Finding the Third Proportional to 8,091.50 and 17,647

Step by Step Solution

1. Step 1: Write the proportion equation
   8,091.50 : 17,647 = 17,647 : x
2. Step 2: Convert to fraction form
   8,091.50/17,647 = 17,647/x
3. Step 3: Cross multiply
   8,091.50x = 17,647 × 17,647
4. Step 4: Simplify right side
   8,091.50x = 311,416,609
5. Step 5: Solve for x
   x = 311,416,609/8,091.50
6. Step 6: Final answer
   x = 38,486.88