Finding the Third Proportional to 33,192 and 71,664.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,192 : 71,664.75 = 71,664.75 : x
2. Step 2: Convert to fraction form
   33,192/71,664.75 = 71,664.75/x
3. Step 3: Cross multiply
   33,192x = 71,664.75 × 71,664.75
4. Step 4: Simplify right side
   33,192x = 5,135,836,392.56
5. Step 5: Solve for x
   x = 5,135,836,392.56/33,192
6. Step 6: Final answer
   x = 154,731.15