Finding the Third Proportional to 11,146 and 17,634

Step by Step Solution

1. Step 1: Write the proportion equation
   11,146 : 17,634 = 17,634 : x
2. Step 2: Convert to fraction form
   11,146/17,634 = 17,634/x
3. Step 3: Cross multiply
   11,146x = 17,634 × 17,634
4. Step 4: Simplify right side
   11,146x = 310,957,956
5. Step 5: Solve for x
   x = 310,957,956/11,146
6. Step 6: Final answer
   x = 27,898.61