Finding the Third Proportional to 10,575 and 22,648

Step by Step Solution

1. Step 1: Write the proportion equation
   10,575 : 22,648 = 22,648 : x
2. Step 2: Convert to fraction form
   10,575/22,648 = 22,648/x
3. Step 3: Cross multiply
   10,575x = 22,648 × 22,648
4. Step 4: Simplify right side
   10,575x = 512,931,904
5. Step 5: Solve for x
   x = 512,931,904/10,575
6. Step 6: Final answer
   x = 48,504.20