Finding the Third Proportional to 10,302 and 22,065

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302 : 22,065 = 22,065 : x
2. Step 2: Convert to fraction form
   10,302/22,065 = 22,065/x
3. Step 3: Cross multiply
   10,302x = 22,065 × 22,065
4. Step 4: Simplify right side
   10,302x = 486,864,225
5. Step 5: Solve for x
   x = 486,864,225/10,302
6. Step 6: Final answer
   x = 47,259.19