Finding the Third Proportional to 10,414.50 and 22,856.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.50 : 22,856.25 = 22,856.25 : x
2. Step 2: Convert to fraction form
   10,414.50/22,856.25 = 22,856.25/x
3. Step 3: Cross multiply
   10,414.50x = 22,856.25 × 22,856.25
4. Step 4: Simplify right side
   10,414.50x = 522,408,164.06
5. Step 5: Solve for x
   x = 522,408,164.06/10,414.50
6. Step 6: Final answer
   x = 50,161.62