Finding the Third Proportional to 10,454 and 22,852

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454 : 22,852 = 22,852 : x
2. Step 2: Convert to fraction form
   10,454/22,852 = 22,852/x
3. Step 3: Cross multiply
   10,454x = 22,852 × 22,852
4. Step 4: Simplify right side
   10,454x = 522,213,904
5. Step 5: Solve for x
   x = 522,213,904/10,454
6. Step 6: Final answer
   x = 49,953.50