Finding the Third Proportional to 10,522 and 22,020

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522 : 22,020 = 22,020 : x
2. Step 2: Convert to fraction form
   10,522/22,020 = 22,020/x
3. Step 3: Cross multiply
   10,522x = 22,020 × 22,020
4. Step 4: Simplify right side
   10,522x = 484,880,400
5. Step 5: Solve for x
   x = 484,880,400/10,522
6. Step 6: Final answer
   x = 46,082.53