Finding the Third Proportional to 33,584 and 50,798

Step by Step Solution

1. Step 1: Write the proportion equation
   33,584 : 50,798 = 50,798 : x
2. Step 2: Convert to fraction form
   33,584/50,798 = 50,798/x
3. Step 3: Cross multiply
   33,584x = 50,798 × 50,798
4. Step 4: Simplify right side
   33,584x = 2,580,436,804
5. Step 5: Solve for x
   x = 2,580,436,804/33,584
6. Step 6: Final answer
   x = 76,835.30