Finding the Third Proportional to 4,688 and 10,065

Step by Step Solution

1. Step 1: Write the proportion equation
   4,688 : 10,065 = 10,065 : x
2. Step 2: Convert to fraction form
   4,688/10,065 = 10,065/x
3. Step 3: Cross multiply
   4,688x = 10,065 × 10,065
4. Step 4: Simplify right side
   4,688x = 101,304,225
5. Step 5: Solve for x
   x = 101,304,225/4,688
6. Step 6: Final answer
   x = 21,609.26