Finding the Third Proportional to 10,665 and 23,265

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 23,265 = 23,265 : x
2. Step 2: Convert to fraction form
   10,665/23,265 = 23,265/x
3. Step 3: Cross multiply
   10,665x = 23,265 × 23,265
4. Step 4: Simplify right side
   10,665x = 541,260,225
5. Step 5: Solve for x
   x = 541,260,225/10,665
6. Step 6: Final answer
   x = 50,751.08