Finding the Third Proportional to 33,374 and 72,556

Step by Step Solution

1. Step 1: Write the proportion equation
   33,374 : 72,556 = 72,556 : x
2. Step 2: Convert to fraction form
   33,374/72,556 = 72,556/x
3. Step 3: Cross multiply
   33,374x = 72,556 × 72,556
4. Step 4: Simplify right side
   33,374x = 5,264,373,136
5. Step 5: Solve for x
   x = 5,264,373,136/33,374
6. Step 6: Final answer
   x = 157,738.75