Finding the Third Proportional to 8,214 and 17,892

Step by Step Solution

1. Step 1: Write the proportion equation
   8,214 : 17,892 = 17,892 : x
2. Step 2: Convert to fraction form
   8,214/17,892 = 17,892/x
3. Step 3: Cross multiply
   8,214x = 17,892 × 17,892
4. Step 4: Simplify right side
   8,214x = 320,123,664
5. Step 5: Solve for x
   x = 320,123,664/8,214
6. Step 6: Final answer
   x = 38,972.93