Finding the Third Proportional to 22,826 and 34,142

Step by Step Solution

1. Step 1: Write the proportion equation
   22,826 : 34,142 = 34,142 : x
2. Step 2: Convert to fraction form
   22,826/34,142 = 34,142/x
3. Step 3: Cross multiply
   22,826x = 34,142 × 34,142
4. Step 4: Simplify right side
   22,826x = 1,165,676,164
5. Step 5: Solve for x
   x = 1,165,676,164/22,826
6. Step 6: Final answer
   x = 51,067.91