Finding the Third Proportional to 33,057 and 72,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,057 : 72,676.50 = 72,676.50 : x
2. Step 2: Convert to fraction form
   33,057/72,676.50 = 72,676.50/x
3. Step 3: Cross multiply
   33,057x = 72,676.50 × 72,676.50
4. Step 4: Simplify right side
   33,057x = 5,281,873,652.25
5. Step 5: Solve for x
   x = 5,281,873,652.25/33,057
6. Step 6: Final answer
   x = 159,780.79