Finding the Third Proportional to 11,838 and 17,655

Step by Step Solution

1. Step 1: Write the proportion equation
   11,838 : 17,655 = 17,655 : x
2. Step 2: Convert to fraction form
   11,838/17,655 = 17,655/x
3. Step 3: Cross multiply
   11,838x = 17,655 × 17,655
4. Step 4: Simplify right side
   11,838x = 311,699,025
5. Step 5: Solve for x
   x = 311,699,025/11,838
6. Step 6: Final answer
   x = 26,330.38