Finding the Third Proportional to 33,072 and 72,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,072 : 72,353.50 = 72,353.50 : x
2. Step 2: Convert to fraction form
   33,072/72,353.50 = 72,353.50/x
3. Step 3: Cross multiply
   33,072x = 72,353.50 × 72,353.50
4. Step 4: Simplify right side
   33,072x = 5,235,028,962.25
5. Step 5: Solve for x
   x = 5,235,028,962.25/33,072
6. Step 6: Final answer
   x = 158,291.88