Finding the Third Proportional to 33,405 and 72,966

Step by Step Solution

1. Step 1: Write the proportion equation
   33,405 : 72,966 = 72,966 : x
2. Step 2: Convert to fraction form
   33,405/72,966 = 72,966/x
3. Step 3: Cross multiply
   33,405x = 72,966 × 72,966
4. Step 4: Simplify right side
   33,405x = 5,324,037,156
5. Step 5: Solve for x
   x = 5,324,037,156/33,405
6. Step 6: Final answer
   x = 159,378.45