Finding the Third Proportional to 41,696 and 85,092

Step by Step Solution

1. Step 1: Write the proportion equation
   41,696 : 85,092 = 85,092 : x
2. Step 2: Convert to fraction form
   41,696/85,092 = 85,092/x
3. Step 3: Cross multiply
   41,696x = 85,092 × 85,092
4. Step 4: Simplify right side
   41,696x = 7,240,648,464
5. Step 5: Solve for x
   x = 7,240,648,464/41,696
6. Step 6: Final answer
   x = 173,653.31