Finding the Third Proportional to 22,456 and 33,966

Step by Step Solution

1. Step 1: Write the proportion equation
   22,456 : 33,966 = 33,966 : x
2. Step 2: Convert to fraction form
   22,456/33,966 = 33,966/x
3. Step 3: Cross multiply
   22,456x = 33,966 × 33,966
4. Step 4: Simplify right side
   22,456x = 1,153,689,156
5. Step 5: Solve for x
   x = 1,153,689,156/22,456
6. Step 6: Final answer
   x = 51,375.54