Finding the Third Proportional to 11,640 and 18,046

Step by Step Solution

1. Step 1: Write the proportion equation
   11,640 : 18,046 = 18,046 : x
2. Step 2: Convert to fraction form
   11,640/18,046 = 18,046/x
3. Step 3: Cross multiply
   11,640x = 18,046 × 18,046
4. Step 4: Simplify right side
   11,640x = 325,658,116
5. Step 5: Solve for x
   x = 325,658,116/11,640
6. Step 6: Final answer
   x = 27,977.50