Finding the Third Proportional to 22,262 and 51,766

Step by Step Solution

1. Step 1: Write the proportion equation
   22,262 : 51,766 = 51,766 : x
2. Step 2: Convert to fraction form
   22,262/51,766 = 51,766/x
3. Step 3: Cross multiply
   22,262x = 51,766 × 51,766
4. Step 4: Simplify right side
   22,262x = 2,679,718,756
5. Step 5: Solve for x
   x = 2,679,718,756/22,262
6. Step 6: Final answer
   x = 120,371.88