Finding the Third Proportional to 11,600 and 17,614

Step by Step Solution

1. Step 1: Write the proportion equation
   11,600 : 17,614 = 17,614 : x
2. Step 2: Convert to fraction form
   11,600/17,614 = 17,614/x
3. Step 3: Cross multiply
   11,600x = 17,614 × 17,614
4. Step 4: Simplify right side
   11,600x = 310,252,996
5. Step 5: Solve for x
   x = 310,252,996/11,600
6. Step 6: Final answer
   x = 26,745.95