Finding the Third Proportional to 10,506 and 22,732

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506 : 22,732 = 22,732 : x
2. Step 2: Convert to fraction form
   10,506/22,732 = 22,732/x
3. Step 3: Cross multiply
   10,506x = 22,732 × 22,732
4. Step 4: Simplify right side
   10,506x = 516,743,824
5. Step 5: Solve for x
   x = 516,743,824/10,506
6. Step 6: Final answer
   x = 49,185.59