Finding the Third Proportional to 10,201 and 22,406

Step by Step Solution

1. Step 1: Write the proportion equation
   10,201 : 22,406 = 22,406 : x
2. Step 2: Convert to fraction form
   10,201/22,406 = 22,406/x
3. Step 3: Cross multiply
   10,201x = 22,406 × 22,406
4. Step 4: Simplify right side
   10,201x = 502,028,836
5. Step 5: Solve for x
   x = 502,028,836/10,201
6. Step 6: Final answer
   x = 49,213.69