Finding the Third Proportional to 23,384 and 49,574

Step by Step Solution

1. Step 1: Write the proportion equation
   23,384 : 49,574 = 49,574 : x
2. Step 2: Convert to fraction form
   23,384/49,574 = 49,574/x
3. Step 3: Cross multiply
   23,384x = 49,574 × 49,574
4. Step 4: Simplify right side
   23,384x = 2,457,581,476
5. Step 5: Solve for x
   x = 2,457,581,476/23,384
6. Step 6: Final answer
   x = 105,096.71