Finding the Third Proportional to 10,182 and 22,551

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182 : 22,551 = 22,551 : x
2. Step 2: Convert to fraction form
   10,182/22,551 = 22,551/x
3. Step 3: Cross multiply
   10,182x = 22,551 × 22,551
4. Step 4: Simplify right side
   10,182x = 508,547,601
5. Step 5: Solve for x
   x = 508,547,601/10,182
6. Step 6: Final answer
   x = 49,945.75