Finding the Third Proportional to 24,101 and 50,384

Step by Step Solution

1. Step 1: Write the proportion equation
   24,101 : 50,384 = 50,384 : x
2. Step 2: Convert to fraction form
   24,101/50,384 = 50,384/x
3. Step 3: Cross multiply
   24,101x = 50,384 × 50,384
4. Step 4: Simplify right side
   24,101x = 2,538,547,456
5. Step 5: Solve for x
   x = 2,538,547,456/24,101
6. Step 6: Final answer
   x = 105,329.55