Finding the Third Proportional to 11,684 and 17,634

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684 : 17,634 = 17,634 : x
2. Step 2: Convert to fraction form
   11,684/17,634 = 17,634/x
3. Step 3: Cross multiply
   11,684x = 17,634 × 17,634
4. Step 4: Simplify right side
   11,684x = 310,957,956
5. Step 5: Solve for x
   x = 310,957,956/11,684
6. Step 6: Final answer
   x = 26,614.00