Finding the Third Proportional to 11,780 and 17,616

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 17,616 = 17,616 : x
2. Step 2: Convert to fraction form
   11,780/17,616 = 17,616/x
3. Step 3: Cross multiply
   11,780x = 17,616 × 17,616
4. Step 4: Simplify right side
   11,780x = 310,323,456
5. Step 5: Solve for x
   x = 310,323,456/11,780
6. Step 6: Final answer
   x = 26,343.25