Finding the Third Proportional to 33,380 and 62,556

Step by Step Solution

1. Step 1: Write the proportion equation
   33,380 : 62,556 = 62,556 : x
2. Step 2: Convert to fraction form
   33,380/62,556 = 62,556/x
3. Step 3: Cross multiply
   33,380x = 62,556 × 62,556
4. Step 4: Simplify right side
   33,380x = 3,913,253,136
5. Step 5: Solve for x
   x = 3,913,253,136/33,380
6. Step 6: Final answer
   x = 117,233.47