Finding the Third Proportional to 10,122 and 21,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122 : 21,846 = 21,846 : x
2. Step 2: Convert to fraction form
   10,122/21,846 = 21,846/x
3. Step 3: Cross multiply
   10,122x = 21,846 × 21,846
4. Step 4: Simplify right side
   10,122x = 477,247,716
5. Step 5: Solve for x
   x = 477,247,716/10,122
6. Step 6: Final answer
   x = 47,149.55