Finding the Third Proportional to 10,293 and 22,145

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293 : 22,145 = 22,145 : x
2. Step 2: Convert to fraction form
   10,293/22,145 = 22,145/x
3. Step 3: Cross multiply
   10,293x = 22,145 × 22,145
4. Step 4: Simplify right side
   10,293x = 490,401,025
5. Step 5: Solve for x
   x = 490,401,025/10,293
6. Step 6: Final answer
   x = 47,644.13