Finding the Third Proportional to 10,122 and 17,892

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122 : 17,892 = 17,892 : x
2. Step 2: Convert to fraction form
   10,122/17,892 = 17,892/x
3. Step 3: Cross multiply
   10,122x = 17,892 × 17,892
4. Step 4: Simplify right side
   10,122x = 320,123,664
5. Step 5: Solve for x
   x = 320,123,664/10,122
6. Step 6: Final answer
   x = 31,626.52