Finding the Third Proportional to 5,278.50 and 10,410.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,278.50 : 10,410.75 = 10,410.75 : x
2. Step 2: Convert to fraction form
   5,278.50/10,410.75 = 10,410.75/x
3. Step 3: Cross multiply
   5,278.50x = 10,410.75 × 10,410.75
4. Step 4: Simplify right side
   5,278.50x = 108,383,715.56
5. Step 5: Solve for x
   x = 108,383,715.56/5,278.50
6. Step 6: Final answer
   x = 20,533.05