Finding the Third Proportional to 32,838 and 50,796

Step by Step Solution

1. Step 1: Write the proportion equation
   32,838 : 50,796 = 50,796 : x
2. Step 2: Convert to fraction form
   32,838/50,796 = 50,796/x
3. Step 3: Cross multiply
   32,838x = 50,796 × 50,796
4. Step 4: Simplify right side
   32,838x = 2,580,233,616
5. Step 5: Solve for x
   x = 2,580,233,616/32,838
6. Step 6: Final answer
   x = 78,574.63