Finding the Third Proportional to 41,513 and 85,981

Step by Step Solution

1. Step 1: Write the proportion equation
   41,513 : 85,981 = 85,981 : x
2. Step 2: Convert to fraction form
   41,513/85,981 = 85,981/x
3. Step 3: Cross multiply
   41,513x = 85,981 × 85,981
4. Step 4: Simplify right side
   41,513x = 7,392,732,361
5. Step 5: Solve for x
   x = 7,392,732,361/41,513
6. Step 6: Final answer
   x = 178,082.34