Finding the Third Proportional to 8,072.50 and 17,420

Step by Step Solution

1. Step 1: Write the proportion equation
   8,072.50 : 17,420 = 17,420 : x
2. Step 2: Convert to fraction form
   8,072.50/17,420 = 17,420/x
3. Step 3: Cross multiply
   8,072.50x = 17,420 × 17,420
4. Step 4: Simplify right side
   8,072.50x = 303,456,400
5. Step 5: Solve for x
   x = 303,456,400/8,072.50
6. Step 6: Final answer
   x = 37,591.38