Finding the Third Proportional to 10,724 and 23,020

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724 : 23,020 = 23,020 : x
2. Step 2: Convert to fraction form
   10,724/23,020 = 23,020/x
3. Step 3: Cross multiply
   10,724x = 23,020 × 23,020
4. Step 4: Simplify right side
   10,724x = 529,920,400
5. Step 5: Solve for x
   x = 529,920,400/10,724
6. Step 6: Final answer
   x = 49,414.43