Finding the Third Proportional to 10,584 and 23,065

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 23,065 = 23,065 : x
2. Step 2: Convert to fraction form
   10,584/23,065 = 23,065/x
3. Step 3: Cross multiply
   10,584x = 23,065 × 23,065
4. Step 4: Simplify right side
   10,584x = 531,994,225
5. Step 5: Solve for x
   x = 531,994,225/10,584
6. Step 6: Final answer
   x = 50,264.00