Finding the Third Proportional to 10,582 and 22,757

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582 : 22,757 = 22,757 : x
2. Step 2: Convert to fraction form
   10,582/22,757 = 22,757/x
3. Step 3: Cross multiply
   10,582x = 22,757 × 22,757
4. Step 4: Simplify right side
   10,582x = 517,881,049
5. Step 5: Solve for x
   x = 517,881,049/10,582
6. Step 6: Final answer
   x = 48,939.81