Finding the Third Proportional to 11,886 and 21,288

Step by Step Solution

1. Step 1: Write the proportion equation
   11,886 : 21,288 = 21,288 : x
2. Step 2: Convert to fraction form
   11,886/21,288 = 21,288/x
3. Step 3: Cross multiply
   11,886x = 21,288 × 21,288
4. Step 4: Simplify right side
   11,886x = 453,178,944
5. Step 5: Solve for x
   x = 453,178,944/11,886
6. Step 6: Final answer
   x = 38,127.12