Finding the Third Proportional to 5,584.50 and 10,500.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,584.50 : 10,500.75 = 10,500.75 : x
2. Step 2: Convert to fraction form
   5,584.50/10,500.75 = 10,500.75/x
3. Step 3: Cross multiply
   5,584.50x = 10,500.75 × 10,500.75
4. Step 4: Simplify right side
   5,584.50x = 110,265,750.56
5. Step 5: Solve for x
   x = 110,265,750.56/5,584.50
6. Step 6: Final answer
   x = 19,744.96