Finding the Third Proportional to 24,065 and 57,974

Step by Step Solution

1. Step 1: Write the proportion equation
   24,065 : 57,974 = 57,974 : x
2. Step 2: Convert to fraction form
   24,065/57,974 = 57,974/x
3. Step 3: Cross multiply
   24,065x = 57,974 × 57,974
4. Step 4: Simplify right side
   24,065x = 3,360,984,676
5. Step 5: Solve for x
   x = 3,360,984,676/24,065
6. Step 6: Final answer
   x = 139,662.77