Finding the Third Proportional to 8,072.50 and 17,485

Step by Step Solution

1. Step 1: Write the proportion equation
   8,072.50 : 17,485 = 17,485 : x
2. Step 2: Convert to fraction form
   8,072.50/17,485 = 17,485/x
3. Step 3: Cross multiply
   8,072.50x = 17,485 × 17,485
4. Step 4: Simplify right side
   8,072.50x = 305,725,225
5. Step 5: Solve for x
   x = 305,725,225/8,072.50
6. Step 6: Final answer
   x = 37,872.43