Finding the Third Proportional to 33,874 and 73,780

Step by Step Solution

1. Step 1: Write the proportion equation
   33,874 : 73,780 = 73,780 : x
2. Step 2: Convert to fraction form
   33,874/73,780 = 73,780/x
3. Step 3: Cross multiply
   33,874x = 73,780 × 73,780
4. Step 4: Simplify right side
   33,874x = 5,443,488,400
5. Step 5: Solve for x
   x = 5,443,488,400/33,874
6. Step 6: Final answer
   x = 160,698.13