Finding the Third Proportional to 22,326 and 33,777

Step by Step Solution

1. Step 1: Write the proportion equation
   22,326 : 33,777 = 33,777 : x
2. Step 2: Convert to fraction form
   22,326/33,777 = 33,777/x
3. Step 3: Cross multiply
   22,326x = 33,777 × 33,777
4. Step 4: Simplify right side
   22,326x = 1,140,885,729
5. Step 5: Solve for x
   x = 1,140,885,729/22,326
6. Step 6: Final answer
   x = 51,101.22