Finding the Third Proportional to 33,802 and 75,380

Step by Step Solution

1. Step 1: Write the proportion equation
   33,802 : 75,380 = 75,380 : x
2. Step 2: Convert to fraction form
   33,802/75,380 = 75,380/x
3. Step 3: Cross multiply
   33,802x = 75,380 × 75,380
4. Step 4: Simplify right side
   33,802x = 5,682,144,400
5. Step 5: Solve for x
   x = 5,682,144,400/33,802
6. Step 6: Final answer
   x = 168,100.83