Finding the Third Proportional to 33,576 and 73,146

Step by Step Solution

1. Step 1: Write the proportion equation
   33,576 : 73,146 = 73,146 : x
2. Step 2: Convert to fraction form
   33,576/73,146 = 73,146/x
3. Step 3: Cross multiply
   33,576x = 73,146 × 73,146
4. Step 4: Simplify right side
   33,576x = 5,350,337,316
5. Step 5: Solve for x
   x = 5,350,337,316/33,576
6. Step 6: Final answer
   x = 159,350.05