Finding the Third Proportional to 11,640 and 16,426

Step by Step Solution

1. Step 1: Write the proportion equation
   11,640 : 16,426 = 16,426 : x
2. Step 2: Convert to fraction form
   11,640/16,426 = 16,426/x
3. Step 3: Cross multiply
   11,640x = 16,426 × 16,426
4. Step 4: Simplify right side
   11,640x = 269,813,476
5. Step 5: Solve for x
   x = 269,813,476/11,640
6. Step 6: Final answer
   x = 23,179.85