Finding the Third Proportional to 10,522 and 22,772

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522 : 22,772 = 22,772 : x
2. Step 2: Convert to fraction form
   10,522/22,772 = 22,772/x
3. Step 3: Cross multiply
   10,522x = 22,772 × 22,772
4. Step 4: Simplify right side
   10,522x = 518,563,984
5. Step 5: Solve for x
   x = 518,563,984/10,522
6. Step 6: Final answer
   x = 49,283.78