Finding the Third Proportional to 30,738 and 71,981

Step by Step Solution

1. Step 1: Write the proportion equation
   30,738 : 71,981 = 71,981 : x
2. Step 2: Convert to fraction form
   30,738/71,981 = 71,981/x
3. Step 3: Cross multiply
   30,738x = 71,981 × 71,981
4. Step 4: Simplify right side
   30,738x = 5,181,264,361
5. Step 5: Solve for x
   x = 5,181,264,361/30,738
6. Step 6: Final answer
   x = 168,562.18