Finding the Third Proportional to 11,278 and 19,892

Step by Step Solution

1. Step 1: Write the proportion equation
   11,278 : 19,892 = 19,892 : x
2. Step 2: Convert to fraction form
   11,278/19,892 = 19,892/x
3. Step 3: Cross multiply
   11,278x = 19,892 × 19,892
4. Step 4: Simplify right side
   11,278x = 395,691,664
5. Step 5: Solve for x
   x = 395,691,664/11,278
6. Step 6: Final answer
   x = 35,085.27