Finding the Third Proportional to 10,441 and 22,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,441 : 22,046.50 = 22,046.50 : x
2. Step 2: Convert to fraction form
   10,441/22,046.50 = 22,046.50/x
3. Step 3: Cross multiply
   10,441x = 22,046.50 × 22,046.50
4. Step 4: Simplify right side
   10,441x = 486,048,162.25
5. Step 5: Solve for x
   x = 486,048,162.25/10,441
6. Step 6: Final answer
   x = 46,551.88