Finding the Third Proportional to 6,574.50 and 10,410.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,574.50 : 10,410.75 = 10,410.75 : x
2. Step 2: Convert to fraction form
   6,574.50/10,410.75 = 10,410.75/x
3. Step 3: Cross multiply
   6,574.50x = 10,410.75 × 10,410.75
4. Step 4: Simplify right side
   6,574.50x = 108,383,715.56
5. Step 5: Solve for x
   x = 108,383,715.56/6,574.50
6. Step 6: Final answer
   x = 16,485.47