Finding the Third Proportional to 10,408.50 and 21,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408.50 : 21,665.25 = 21,665.25 : x
2. Step 2: Convert to fraction form
   10,408.50/21,665.25 = 21,665.25/x
3. Step 3: Cross multiply
   10,408.50x = 21,665.25 × 21,665.25
4. Step 4: Simplify right side
   10,408.50x = 469,383,057.56
5. Step 5: Solve for x
   x = 469,383,057.56/10,408.50
6. Step 6: Final answer
   x = 45,096.13