Finding the Third Proportional to 10,974 and 24,078

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974 : 24,078 = 24,078 : x
2. Step 2: Convert to fraction form
   10,974/24,078 = 24,078/x
3. Step 3: Cross multiply
   10,974x = 24,078 × 24,078
4. Step 4: Simplify right side
   10,974x = 579,750,084
5. Step 5: Solve for x
   x = 579,750,084/10,974
6. Step 6: Final answer
   x = 52,829.42