Finding the Third Proportional to 8,082 and 17,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,082 : 17,671.50 = 17,671.50 : x
2. Step 2: Convert to fraction form
   8,082/17,671.50 = 17,671.50/x
3. Step 3: Cross multiply
   8,082x = 17,671.50 × 17,671.50
4. Step 4: Simplify right side
   8,082x = 312,281,912.25
5. Step 5: Solve for x
   x = 312,281,912.25/8,082
6. Step 6: Final answer
   x = 38,639.19