Finding the Third Proportional to 23,002 and 49,283

Step by Step Solution

1. Step 1: Write the proportion equation
   23,002 : 49,283 = 49,283 : x
2. Step 2: Convert to fraction form
   23,002/49,283 = 49,283/x
3. Step 3: Cross multiply
   23,002x = 49,283 × 49,283
4. Step 4: Simplify right side
   23,002x = 2,428,814,089
5. Step 5: Solve for x
   x = 2,428,814,089/23,002
6. Step 6: Final answer
   x = 105,591.43