Finding the Third Proportional to 34,409 and 50,974

Step by Step Solution

1. Step 1: Write the proportion equation
   34,409 : 50,974 = 50,974 : x
2. Step 2: Convert to fraction form
   34,409/50,974 = 50,974/x
3. Step 3: Cross multiply
   34,409x = 50,974 × 50,974
4. Step 4: Simplify right side
   34,409x = 2,598,348,676
5. Step 5: Solve for x
   x = 2,598,348,676/34,409
6. Step 6: Final answer
   x = 75,513.64