Finding the Third Proportional to 33,588 and 50,805

Step by Step Solution

1. Step 1: Write the proportion equation
   33,588 : 50,805 = 50,805 : x
2. Step 2: Convert to fraction form
   33,588/50,805 = 50,805/x
3. Step 3: Cross multiply
   33,588x = 50,805 × 50,805
4. Step 4: Simplify right side
   33,588x = 2,581,148,025
5. Step 5: Solve for x
   x = 2,581,148,025/33,588
6. Step 6: Final answer
   x = 76,847.33