Finding the Third Proportional to 11,780 and 13,460

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 13,460 = 13,460 : x
2. Step 2: Convert to fraction form
   11,780/13,460 = 13,460/x
3. Step 3: Cross multiply
   11,780x = 13,460 × 13,460
4. Step 4: Simplify right side
   11,780x = 181,171,600
5. Step 5: Solve for x
   x = 181,171,600/11,780
6. Step 6: Final answer
   x = 15,379.59