Finding the Third Proportional to 10,776 and 17,244

Step by Step Solution

1. Step 1: Write the proportion equation
   10,776 : 17,244 = 17,244 : x
2. Step 2: Convert to fraction form
   10,776/17,244 = 17,244/x
3. Step 3: Cross multiply
   10,776x = 17,244 × 17,244
4. Step 4: Simplify right side
   10,776x = 297,355,536
5. Step 5: Solve for x
   x = 297,355,536/10,776
6. Step 6: Final answer
   x = 27,594.24