Finding the Third Proportional to 33,661 and 72,894

Step by Step Solution

1. Step 1: Write the proportion equation
   33,661 : 72,894 = 72,894 : x
2. Step 2: Convert to fraction form
   33,661/72,894 = 72,894/x
3. Step 3: Cross multiply
   33,661x = 72,894 × 72,894
4. Step 4: Simplify right side
   33,661x = 5,313,535,236
5. Step 5: Solve for x
   x = 5,313,535,236/33,661
6. Step 6: Final answer
   x = 157,854.35