Finding the Third Proportional to 33,196 and 52,556

Step by Step Solution

1. Step 1: Write the proportion equation
   33,196 : 52,556 = 52,556 : x
2. Step 2: Convert to fraction form
   33,196/52,556 = 52,556/x
3. Step 3: Cross multiply
   33,196x = 52,556 × 52,556
4. Step 4: Simplify right side
   33,196x = 2,762,133,136
5. Step 5: Solve for x
   x = 2,762,133,136/33,196
6. Step 6: Final answer
   x = 83,206.81