Finding the Third Proportional to 10,086 and 21,894

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086 : 21,894 = 21,894 : x
2. Step 2: Convert to fraction form
   10,086/21,894 = 21,894/x
3. Step 3: Cross multiply
   10,086x = 21,894 × 21,894
4. Step 4: Simplify right side
   10,086x = 479,347,236
5. Step 5: Solve for x
   x = 479,347,236/10,086
6. Step 6: Final answer
   x = 47,526