Finding the Third Proportional to 11,562 and 17,863

Step by Step Solution

1. Step 1: Write the proportion equation
   11,562 : 17,863 = 17,863 : x
2. Step 2: Convert to fraction form
   11,562/17,863 = 17,863/x
3. Step 3: Cross multiply
   11,562x = 17,863 × 17,863
4. Step 4: Simplify right side
   11,562x = 319,086,769
5. Step 5: Solve for x
   x = 319,086,769/11,562
6. Step 6: Final answer
   x = 27,597.89