Finding the Third Proportional to 22,248 and 47,648

Step by Step Solution

1. Step 1: Write the proportion equation
   22,248 : 47,648 = 47,648 : x
2. Step 2: Convert to fraction form
   22,248/47,648 = 47,648/x
3. Step 3: Cross multiply
   22,248x = 47,648 × 47,648
4. Step 4: Simplify right side
   22,248x = 2,270,331,904
5. Step 5: Solve for x
   x = 2,270,331,904/22,248
6. Step 6: Final answer
   x = 102,046.56