Finding the Third Proportional to 33,050 and 72,661

Step by Step Solution

1. Step 1: Write the proportion equation
   33,050 : 72,661 = 72,661 : x
2. Step 2: Convert to fraction form
   33,050/72,661 = 72,661/x
3. Step 3: Cross multiply
   33,050x = 72,661 × 72,661
4. Step 4: Simplify right side
   33,050x = 5,279,620,921
5. Step 5: Solve for x
   x = 5,279,620,921/33,050
6. Step 6: Final answer
   x = 159,746.47