Finding the Third Proportional to 22,823 and 34,081

Step by Step Solution

1. Step 1: Write the proportion equation
   22,823 : 34,081 = 34,081 : x
2. Step 2: Convert to fraction form
   22,823/34,081 = 34,081/x
3. Step 3: Cross multiply
   22,823x = 34,081 × 34,081
4. Step 4: Simplify right side
   22,823x = 1,161,514,561
5. Step 5: Solve for x
   x = 1,161,514,561/22,823
6. Step 6: Final answer
   x = 50,892.28