Finding the Third Proportional to 32,842 and 50,801

Step by Step Solution

1. Step 1: Write the proportion equation
   32,842 : 50,801 = 50,801 : x
2. Step 2: Convert to fraction form
   32,842/50,801 = 50,801/x
3. Step 3: Cross multiply
   32,842x = 50,801 × 50,801
4. Step 4: Simplify right side
   32,842x = 2,580,741,601
5. Step 5: Solve for x
   x = 2,580,741,601/32,842
6. Step 6: Final answer
   x = 78,580.52