Finding the Third Proportional to 33,754 and 73,412

Step by Step Solution

1. Step 1: Write the proportion equation
   33,754 : 73,412 = 73,412 : x
2. Step 2: Convert to fraction form
   33,754/73,412 = 73,412/x
3. Step 3: Cross multiply
   33,754x = 73,412 × 73,412
4. Step 4: Simplify right side
   33,754x = 5,389,321,744
5. Step 5: Solve for x
   x = 5,389,321,744/33,754
6. Step 6: Final answer
   x = 159,664.68