Finding the Third Proportional to 11,780 and 13,008

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 13,008 = 13,008 : x
2. Step 2: Convert to fraction form
   11,780/13,008 = 13,008/x
3. Step 3: Cross multiply
   11,780x = 13,008 × 13,008
4. Step 4: Simplify right side
   11,780x = 169,208,064
5. Step 5: Solve for x
   x = 169,208,064/11,780
6. Step 6: Final answer
   x = 14,364.01