Finding the Third Proportional to 8,172.50 and 17,640.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,172.50 : 17,640.75 = 17,640.75 : x
2. Step 2: Convert to fraction form
   8,172.50/17,640.75 = 17,640.75/x
3. Step 3: Cross multiply
   8,172.50x = 17,640.75 × 17,640.75
4. Step 4: Simplify right side
   8,172.50x = 311,196,060.56
5. Step 5: Solve for x
   x = 311,196,060.56/8,172.50
6. Step 6: Final answer
   x = 38,078.44