Finding the Third Proportional to 20,816 and 32,556

Step by Step Solution

1. Step 1: Write the proportion equation
   20,816 : 32,556 = 32,556 : x
2. Step 2: Convert to fraction form
   20,816/32,556 = 32,556/x
3. Step 3: Cross multiply
   20,816x = 32,556 × 32,556
4. Step 4: Simplify right side
   20,816x = 1,059,893,136
5. Step 5: Solve for x
   x = 1,059,893,136/20,816
6. Step 6: Final answer
   x = 50,917.23