Finding the Third Proportional to 10,146 and 21,854

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146 : 21,854 = 21,854 : x
2. Step 2: Convert to fraction form
   10,146/21,854 = 21,854/x
3. Step 3: Cross multiply
   10,146x = 21,854 × 21,854
4. Step 4: Simplify right side
   10,146x = 477,597,316
5. Step 5: Solve for x
   x = 477,597,316/10,146
6. Step 6: Final answer
   x = 47,072.47