Finding the Third Proportional to 10,287 and 13,365

Step by Step Solution

1. Step 1: Write the proportion equation
   10,287 : 13,365 = 13,365 : x
2. Step 2: Convert to fraction form
   10,287/13,365 = 13,365/x
3. Step 3: Cross multiply
   10,287x = 13,365 × 13,365
4. Step 4: Simplify right side
   10,287x = 178,623,225
5. Step 5: Solve for x
   x = 178,623,225/10,287
6. Step 6: Final answer
   x = 17,363.98