Finding the Third Proportional to 22,996 and 33,152

Step by Step Solution

1. Step 1: Write the proportion equation
   22,996 : 33,152 = 33,152 : x
2. Step 2: Convert to fraction form
   22,996/33,152 = 33,152/x
3. Step 3: Cross multiply
   22,996x = 33,152 × 33,152
4. Step 4: Simplify right side
   22,996x = 1,099,055,104
5. Step 5: Solve for x
   x = 1,099,055,104/22,996
6. Step 6: Final answer
   x = 47,793.32