Finding the Third Proportional to 10,260 and 22,089

Step by Step Solution

1. Step 1: Write the proportion equation
   10,260 : 22,089 = 22,089 : x
2. Step 2: Convert to fraction form
   10,260/22,089 = 22,089/x
3. Step 3: Cross multiply
   10,260x = 22,089 × 22,089
4. Step 4: Simplify right side
   10,260x = 487,923,921
5. Step 5: Solve for x
   x = 487,923,921/10,260
6. Step 6: Final answer
   x = 47,555.94