Finding the Third Proportional to 10,065 and 21,591

Step by Step Solution

1. Step 1: Write the proportion equation
   10,065 : 21,591 = 21,591 : x
2. Step 2: Convert to fraction form
   10,065/21,591 = 21,591/x
3. Step 3: Cross multiply
   10,065x = 21,591 × 21,591
4. Step 4: Simplify right side
   10,065x = 466,171,281
5. Step 5: Solve for x
   x = 466,171,281/10,065
6. Step 6: Final answer
   x = 46,316.07