Finding the Third Proportional to 30,974 and 41,617

Step by Step Solution

1. Step 1: Write the proportion equation
   30,974 : 41,617 = 41,617 : x
2. Step 2: Convert to fraction form
   30,974/41,617 = 41,617/x
3. Step 3: Cross multiply
   30,974x = 41,617 × 41,617
4. Step 4: Simplify right side
   30,974x = 1,731,974,689
5. Step 5: Solve for x
   x = 1,731,974,689/30,974
6. Step 6: Final answer
   x = 55,917.05