Finding the Third Proportional to 10,146 and 22,005

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146 : 22,005 = 22,005 : x
2. Step 2: Convert to fraction form
   10,146/22,005 = 22,005/x
3. Step 3: Cross multiply
   10,146x = 22,005 × 22,005
4. Step 4: Simplify right side
   10,146x = 484,220,025
5. Step 5: Solve for x
   x = 484,220,025/10,146
6. Step 6: Final answer
   x = 47,725.21