Finding the Third Proportional to 10,410 and 22,242

Step by Step Solution

1. Step 1: Write the proportion equation
   10,410 : 22,242 = 22,242 : x
2. Step 2: Convert to fraction form
   10,410/22,242 = 22,242/x
3. Step 3: Cross multiply
   10,410x = 22,242 × 22,242
4. Step 4: Simplify right side
   10,410x = 494,706,564
5. Step 5: Solve for x
   x = 494,706,564/10,410
6. Step 6: Final answer
   x = 47,522.24