Finding the Third Proportional to 33,840 and 50,565

Step by Step Solution

1. Step 1: Write the proportion equation
   33,840 : 50,565 = 50,565 : x
2. Step 2: Convert to fraction form
   33,840/50,565 = 50,565/x
3. Step 3: Cross multiply
   33,840x = 50,565 × 50,565
4. Step 4: Simplify right side
   33,840x = 2,556,819,225
5. Step 5: Solve for x
   x = 2,556,819,225/33,840
6. Step 6: Final answer
   x = 75,556.12