Finding the Third Proportional to 44,226 and 57,834

Step by Step Solution

1. Step 1: Write the proportion equation
   44,226 : 57,834 = 57,834 : x
2. Step 2: Convert to fraction form
   44,226/57,834 = 57,834/x
3. Step 3: Cross multiply
   44,226x = 57,834 × 57,834
4. Step 4: Simplify right side
   44,226x = 3,344,771,556
5. Step 5: Solve for x
   x = 3,344,771,556/44,226
6. Step 6: Final answer
   x = 75,629.08