Finding the Third Proportional to 41,699 and 85,096

Step by Step Solution

1. Step 1: Write the proportion equation
   41,699 : 85,096 = 85,096 : x
2. Step 2: Convert to fraction form
   41,699/85,096 = 85,096/x
3. Step 3: Cross multiply
   41,699x = 85,096 × 85,096
4. Step 4: Simplify right side
   41,699x = 7,241,329,216
5. Step 5: Solve for x
   x = 7,241,329,216/41,699
6. Step 6: Final answer
   x = 173,657.14