Finding the Third Proportional to 22,784 and 49,384

Step by Step Solution

1. Step 1: Write the proportion equation
   22,784 : 49,384 = 49,384 : x
2. Step 2: Convert to fraction form
   22,784/49,384 = 49,384/x
3. Step 3: Cross multiply
   22,784x = 49,384 × 49,384
4. Step 4: Simplify right side
   22,784x = 2,438,779,456
5. Step 5: Solve for x
   x = 2,438,779,456/22,784
6. Step 6: Final answer
   x = 107,039.13