Finding the Third Proportional to 10,772 and 17,238

Step by Step Solution

1. Step 1: Write the proportion equation
   10,772 : 17,238 = 17,238 : x
2. Step 2: Convert to fraction form
   10,772/17,238 = 17,238/x
3. Step 3: Cross multiply
   10,772x = 17,238 × 17,238
4. Step 4: Simplify right side
   10,772x = 297,148,644
5. Step 5: Solve for x
   x = 297,148,644/10,772
6. Step 6: Final answer
   x = 27,585.28