Finding the Third Proportional to 11,640 and 17,812

Step by Step Solution

1. Step 1: Write the proportion equation
   11,640 : 17,812 = 17,812 : x
2. Step 2: Convert to fraction form
   11,640/17,812 = 17,812/x
3. Step 3: Cross multiply
   11,640x = 17,812 × 17,812
4. Step 4: Simplify right side
   11,640x = 317,267,344
5. Step 5: Solve for x
   x = 317,267,344/11,640
6. Step 6: Final answer
   x = 27,256.64