Finding the Third Proportional to 7,686 and 17,892

Step by Step Solution

1. Step 1: Write the proportion equation
   7,686 : 17,892 = 17,892 : x
2. Step 2: Convert to fraction form
   7,686/17,892 = 17,892/x
3. Step 3: Cross multiply
   7,686x = 17,892 × 17,892
4. Step 4: Simplify right side
   7,686x = 320,123,664
5. Step 5: Solve for x
   x = 320,123,664/7,686
6. Step 6: Final answer
   x = 41,650.23