Finding the Third Proportional to 10,574 and 23,089

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574 : 23,089 = 23,089 : x
2. Step 2: Convert to fraction form
   10,574/23,089 = 23,089/x
3. Step 3: Cross multiply
   10,574x = 23,089 × 23,089
4. Step 4: Simplify right side
   10,574x = 533,101,921
5. Step 5: Solve for x
   x = 533,101,921/10,574
6. Step 6: Final answer
   x = 50,416.30