Finding the Third Proportional to 11,516 and 17,634

Step by Step Solution

1. Step 1: Write the proportion equation
   11,516 : 17,634 = 17,634 : x
2. Step 2: Convert to fraction form
   11,516/17,634 = 17,634/x
3. Step 3: Cross multiply
   11,516x = 17,634 × 17,634
4. Step 4: Simplify right side
   11,516x = 310,957,956
5. Step 5: Solve for x
   x = 310,957,956/11,516
6. Step 6: Final answer
   x = 27,002.25