Finding the Third Proportional to 32,804 and 50,661

Step by Step Solution

1. Step 1: Write the proportion equation
   32,804 : 50,661 = 50,661 : x
2. Step 2: Convert to fraction form
   32,804/50,661 = 50,661/x
3. Step 3: Cross multiply
   32,804x = 50,661 × 50,661
4. Step 4: Simplify right side
   32,804x = 2,566,536,921
5. Step 5: Solve for x
   x = 2,566,536,921/32,804
6. Step 6: Final answer
   x = 78,238.54