Finding the Third Proportional to 45,734 and 64,065

Step by Step Solution

1. Step 1: Write the proportion equation
   45,734 : 64,065 = 64,065 : x
2. Step 2: Convert to fraction form
   45,734/64,065 = 64,065/x
3. Step 3: Cross multiply
   45,734x = 64,065 × 64,065
4. Step 4: Simplify right side
   45,734x = 4,104,324,225
5. Step 5: Solve for x
   x = 4,104,324,225/45,734
6. Step 6: Final answer
   x = 89,743.39