Finding the Third Proportional to 22,856 and 34,526

Step by Step Solution

1. Step 1: Write the proportion equation
   22,856 : 34,526 = 34,526 : x
2. Step 2: Convert to fraction form
   22,856/34,526 = 34,526/x
3. Step 3: Cross multiply
   22,856x = 34,526 × 34,526
4. Step 4: Simplify right side
   22,856x = 1,192,044,676
5. Step 5: Solve for x
   x = 1,192,044,676/22,856
6. Step 6: Final answer
   x = 52,154.56