Finding the Third Proportional to 8,082.75 and 17,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,082.75 : 17,395.50 = 17,395.50 : x
2. Step 2: Convert to fraction form
   8,082.75/17,395.50 = 17,395.50/x
3. Step 3: Cross multiply
   8,082.75x = 17,395.50 × 17,395.50
4. Step 4: Simplify right side
   8,082.75x = 302,603,420.25
5. Step 5: Solve for x
   x = 302,603,420.25/8,082.75
6. Step 6: Final answer
   x = 37,438.18