Finding the Third Proportional to 33,485 and 72,096

Step by Step Solution

1. Step 1: Write the proportion equation
   33,485 : 72,096 = 72,096 : x
2. Step 2: Convert to fraction form
   33,485/72,096 = 72,096/x
3. Step 3: Cross multiply
   33,485x = 72,096 × 72,096
4. Step 4: Simplify right side
   33,485x = 5,197,833,216
5. Step 5: Solve for x
   x = 5,197,833,216/33,485
6. Step 6: Final answer
   x = 155,228.71