Finding the Third Proportional to 32,839 and 50,798

Step by Step Solution

1. Step 1: Write the proportion equation
   32,839 : 50,798 = 50,798 : x
2. Step 2: Convert to fraction form
   32,839/50,798 = 50,798/x
3. Step 3: Cross multiply
   32,839x = 50,798 × 50,798
4. Step 4: Simplify right side
   32,839x = 2,580,436,804
5. Step 5: Solve for x
   x = 2,580,436,804/32,839
6. Step 6: Final answer
   x = 78,578.42