Finding the Third Proportional to 3,874.50 and 5,974.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874.50 : 5,974.75 = 5,974.75 : x
2. Step 2: Convert to fraction form
   3,874.50/5,974.75 = 5,974.75/x
3. Step 3: Cross multiply
   3,874.50x = 5,974.75 × 5,974.75
4. Step 4: Simplify right side
   3,874.50x = 35,697,637.56
5. Step 5: Solve for x
   x = 35,697,637.56/3,874.50
6. Step 6: Final answer
   x = 9,213.48