Finding the Third Proportional to 10,496 and 17,216

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 17,216 = 17,216 : x
2. Step 2: Convert to fraction form
   10,496/17,216 = 17,216/x
3. Step 3: Cross multiply
   10,496x = 17,216 × 17,216
4. Step 4: Simplify right side
   10,496x = 296,390,656
5. Step 5: Solve for x
   x = 296,390,656/10,496
6. Step 6: Final answer
   x = 28,238.44