Finding the Third Proportional to 5,233.50 and 10,635.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,233.50 : 10,635.75 = 10,635.75 : x
2. Step 2: Convert to fraction form
   5,233.50/10,635.75 = 10,635.75/x
3. Step 3: Cross multiply
   5,233.50x = 10,635.75 × 10,635.75
4. Step 4: Simplify right side
   5,233.50x = 113,119,178.06
5. Step 5: Solve for x
   x = 113,119,178.06/5,233.50
6. Step 6: Final answer
   x = 21,614.44