Finding the Third Proportional to 22,648 and 48,049

Step by Step Solution

1. Step 1: Write the proportion equation
   22,648 : 48,049 = 48,049 : x
2. Step 2: Convert to fraction form
   22,648/48,049 = 48,049/x
3. Step 3: Cross multiply
   22,648x = 48,049 × 48,049
4. Step 4: Simplify right side
   22,648x = 2,308,706,401
5. Step 5: Solve for x
   x = 2,308,706,401/22,648
6. Step 6: Final answer
   x = 101,938.64