Finding the Third Proportional to 10,127 and 21,892

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127 : 21,892 = 21,892 : x
2. Step 2: Convert to fraction form
   10,127/21,892 = 21,892/x
3. Step 3: Cross multiply
   10,127x = 21,892 × 21,892
4. Step 4: Simplify right side
   10,127x = 479,259,664
5. Step 5: Solve for x
   x = 479,259,664/10,127
6. Step 6: Final answer
   x = 47,324.94