Finding the Third Proportional to 33,726 and 73,401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,726 : 73,401.75 = 73,401.75 : x
2. Step 2: Convert to fraction form
   33,726/73,401.75 = 73,401.75/x
3. Step 3: Cross multiply
   33,726x = 73,401.75 × 73,401.75
4. Step 4: Simplify right side
   33,726x = 5,387,816,903.06
5. Step 5: Solve for x
   x = 5,387,816,903.06/33,726
6. Step 6: Final answer
   x = 159,752.62