Finding the Third Proportional to 22,326 and 33,778

Step by Step Solution

1. Step 1: Write the proportion equation
   22,326 : 33,778 = 33,778 : x
2. Step 2: Convert to fraction form
   22,326/33,778 = 33,778/x
3. Step 3: Cross multiply
   22,326x = 33,778 × 33,778
4. Step 4: Simplify right side
   22,326x = 1,140,953,284
5. Step 5: Solve for x
   x = 1,140,953,284/22,326
6. Step 6: Final answer
   x = 51,104.24