Finding the Third Proportional to 22,563 and 49,338

Step by Step Solution

1. Step 1: Write the proportion equation
   22,563 : 49,338 = 49,338 : x
2. Step 2: Convert to fraction form
   22,563/49,338 = 49,338/x
3. Step 3: Cross multiply
   22,563x = 49,338 × 49,338
4. Step 4: Simplify right side
   22,563x = 2,434,238,244
5. Step 5: Solve for x
   x = 2,434,238,244/22,563
6. Step 6: Final answer
   x = 107,886.28