Finding the Third Proportional to 33,742 and 50,617

Step by Step Solution

1. Step 1: Write the proportion equation
   33,742 : 50,617 = 50,617 : x
2. Step 2: Convert to fraction form
   33,742/50,617 = 50,617/x
3. Step 3: Cross multiply
   33,742x = 50,617 × 50,617
4. Step 4: Simplify right side
   33,742x = 2,562,080,689
5. Step 5: Solve for x
   x = 2,562,080,689/33,742
6. Step 6: Final answer
   x = 75,931.50