Finding the Third Proportional to 33,106 and 72,036

Step by Step Solution

1. Step 1: Write the proportion equation
   33,106 : 72,036 = 72,036 : x
2. Step 2: Convert to fraction form
   33,106/72,036 = 72,036/x
3. Step 3: Cross multiply
   33,106x = 72,036 × 72,036
4. Step 4: Simplify right side
   33,106x = 5,189,185,296
5. Step 5: Solve for x
   x = 5,189,185,296/33,106
6. Step 6: Final answer
   x = 156,744.56