Finding the Third Proportional to 33,877 and 50,323

Step by Step Solution

1. Step 1: Write the proportion equation
   33,877 : 50,323 = 50,323 : x
2. Step 2: Convert to fraction form
   33,877/50,323 = 50,323/x
3. Step 3: Cross multiply
   33,877x = 50,323 × 50,323
4. Step 4: Simplify right side
   33,877x = 2,532,404,329
5. Step 5: Solve for x
   x = 2,532,404,329/33,877
6. Step 6: Final answer
   x = 74,752.91