Finding the Third Proportional to 34,414 and 50,981

Step by Step Solution

1. Step 1: Write the proportion equation
   34,414 : 50,981 = 50,981 : x
2. Step 2: Convert to fraction form
   34,414/50,981 = 50,981/x
3. Step 3: Cross multiply
   34,414x = 50,981 × 50,981
4. Step 4: Simplify right side
   34,414x = 2,599,062,361
5. Step 5: Solve for x
   x = 2,599,062,361/34,414
6. Step 6: Final answer
   x = 75,523.40