Finding the Third Proportional to 11,808 and 27,856

Step by Step Solution

1. Step 1: Write the proportion equation
   11,808 : 27,856 = 27,856 : x
2. Step 2: Convert to fraction form
   11,808/27,856 = 27,856/x
3. Step 3: Cross multiply
   11,808x = 27,856 × 27,856
4. Step 4: Simplify right side
   11,808x = 775,956,736
5. Step 5: Solve for x
   x = 775,956,736/11,808
6. Step 6: Final answer
   x = 65,714.49