Finding the Third Proportional to 5,305.50 and 10,614.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,305.50 : 10,614.38 = 10,614.38 : x
2. Step 2: Convert to fraction form
   5,305.50/10,614.38 = 10,614.38/x
3. Step 3: Cross multiply
   5,305.50x = 10,614.38 × 10,614.38
4. Step 4: Simplify right side
   5,305.50x = 112,664,956.64
5. Step 5: Solve for x
   x = 112,664,956.64/5,305.50
6. Step 6: Final answer
   x = 21,235.50