Finding the Third Proportional to 32,048 and 50,696

Step by Step Solution

1. Step 1: Write the proportion equation
   32,048 : 50,696 = 50,696 : x
2. Step 2: Convert to fraction form
   32,048/50,696 = 50,696/x
3. Step 3: Cross multiply
   32,048x = 50,696 × 50,696
4. Step 4: Simplify right side
   32,048x = 2,570,084,416
5. Step 5: Solve for x
   x = 2,570,084,416/32,048
6. Step 6: Final answer
   x = 80,194.85