Finding the Third Proportional to 10,629.98 and 11,524.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,629.98 : 11,524.78 = 11,524.78 : x
2. Step 2: Convert to fraction form
   10,629.98/11,524.78 = 11,524.78/x
3. Step 3: Cross multiply
   10,629.98x = 11,524.78 × 11,524.78
4. Step 4: Simplify right side
   10,629.98x = 132,820,582.86
5. Step 5: Solve for x
   x = 132,820,582.86/10,629.98
6. Step 6: Final answer
   x = 12,494.90