Finding the Third Proportional to 11,539 and 17,902

Step by Step Solution

1. Step 1: Write the proportion equation
   11,539 : 17,902 = 17,902 : x
2. Step 2: Convert to fraction form
   11,539/17,902 = 17,902/x
3. Step 3: Cross multiply
   11,539x = 17,902 × 17,902
4. Step 4: Simplify right side
   11,539x = 320,481,604
5. Step 5: Solve for x
   x = 320,481,604/11,539
6. Step 6: Final answer
   x = 27,773.78