Finding the Third Proportional to 8,116.50 and 17,709.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,116.50 : 17,709.75 = 17,709.75 : x
2. Step 2: Convert to fraction form
   8,116.50/17,709.75 = 17,709.75/x
3. Step 3: Cross multiply
   8,116.50x = 17,709.75 × 17,709.75
4. Step 4: Simplify right side
   8,116.50x = 313,635,245.06
5. Step 5: Solve for x
   x = 313,635,245.06/8,116.50
6. Step 6: Final answer
   x = 38,641.69