Finding the Third Proportional to 22,828 and 34,147

Step by Step Solution

1. Step 1: Write the proportion equation
   22,828 : 34,147 = 34,147 : x
2. Step 2: Convert to fraction form
   22,828/34,147 = 34,147/x
3. Step 3: Cross multiply
   22,828x = 34,147 × 34,147
4. Step 4: Simplify right side
   22,828x = 1,166,017,609
5. Step 5: Solve for x
   x = 1,166,017,609/22,828
6. Step 6: Final answer
   x = 51,078.40