Finding the Third Proportional to 39,816 and 57,556

Step by Step Solution

1. Step 1: Write the proportion equation
   39,816 : 57,556 = 57,556 : x
2. Step 2: Convert to fraction form
   39,816/57,556 = 57,556/x
3. Step 3: Cross multiply
   39,816x = 57,556 × 57,556
4. Step 4: Simplify right side
   39,816x = 3,312,693,136
5. Step 5: Solve for x
   x = 3,312,693,136/39,816
6. Step 6: Final answer
   x = 83,200.05