Finding the Third Proportional to 10,886 and 17,302

Step by Step Solution

1. Step 1: Write the proportion equation
   10,886 : 17,302 = 17,302 : x
2. Step 2: Convert to fraction form
   10,886/17,302 = 17,302/x
3. Step 3: Cross multiply
   10,886x = 17,302 × 17,302
4. Step 4: Simplify right side
   10,886x = 299,359,204
5. Step 5: Solve for x
   x = 299,359,204/10,886
6. Step 6: Final answer
   x = 27,499.47