Finding the Third Proportional to 10,665 and 17,037

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 17,037 = 17,037 : x
2. Step 2: Convert to fraction form
   10,665/17,037 = 17,037/x
3. Step 3: Cross multiply
   10,665x = 17,037 × 17,037
4. Step 4: Simplify right side
   10,665x = 290,259,369
5. Step 5: Solve for x
   x = 290,259,369/10,665
6. Step 6: Final answer
   x = 27,216.07