Finding the Third Proportional to 10,022.06 and 21,633.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.06 : 21,633.09 = 21,633.09 : x
2. Step 2: Convert to fraction form
   10,022.06/21,633.09 = 21,633.09/x
3. Step 3: Cross multiply
   10,022.06x = 21,633.09 × 21,633.09
4. Step 4: Simplify right side
   10,022.06x = 467,990,745.20
5. Step 5: Solve for x
   x = 467,990,745.20/10,022.06
6. Step 6: Final answer
   x = 46,696.05