Finding the Third Proportional to 71,338 and 105,981

Step by Step Solution

1. Step 1: Write the proportion equation
   71,338 : 105,981 = 105,981 : x
2. Step 2: Convert to fraction form
   71,338/105,981 = 105,981/x
3. Step 3: Cross multiply
   71,338x = 105,981 × 105,981
4. Step 4: Simplify right side
   71,338x = 11,231,972,361
5. Step 5: Solve for x
   x = 11,231,972,361/71,338
6. Step 6: Final answer
   x = 157,447.26