Finding the Third Proportional to 11,688 and 17,476

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688 : 17,476 = 17,476 : x
2. Step 2: Convert to fraction form
   11,688/17,476 = 17,476/x
3. Step 3: Cross multiply
   11,688x = 17,476 × 17,476
4. Step 4: Simplify right side
   11,688x = 305,410,576
5. Step 5: Solve for x
   x = 305,410,576/11,688
6. Step 6: Final answer
   x = 26,130.27