Finding the Third Proportional to 41,692 and 85,082

Step by Step Solution

1. Step 1: Write the proportion equation
   41,692 : 85,082 = 85,082 : x
2. Step 2: Convert to fraction form
   41,692/85,082 = 85,082/x
3. Step 3: Cross multiply
   41,692x = 85,082 × 85,082
4. Step 4: Simplify right side
   41,692x = 7,238,946,724
5. Step 5: Solve for x
   x = 7,238,946,724/41,692
6. Step 6: Final answer
   x = 173,629.15