Finding the Third Proportional to 23,766 and 33,225

Step by Step Solution

1. Step 1: Write the proportion equation
   23,766 : 33,225 = 33,225 : x
2. Step 2: Convert to fraction form
   23,766/33,225 = 33,225/x
3. Step 3: Cross multiply
   23,766x = 33,225 × 33,225
4. Step 4: Simplify right side
   23,766x = 1,103,900,625
5. Step 5: Solve for x
   x = 1,103,900,625/23,766
6. Step 6: Final answer
   x = 46,448.73