Finding the Third Proportional to 11,588 and 15,960

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588 : 15,960 = 15,960 : x
2. Step 2: Convert to fraction form
   11,588/15,960 = 15,960/x
3. Step 3: Cross multiply
   11,588x = 15,960 × 15,960
4. Step 4: Simplify right side
   11,588x = 254,721,600
5. Step 5: Solve for x
   x = 254,721,600/11,588
6. Step 6: Final answer
   x = 21,981.50