Finding the Third Proportional to 22,096 and 33,814

Step by Step Solution

1. Step 1: Write the proportion equation
   22,096 : 33,814 = 33,814 : x
2. Step 2: Convert to fraction form
   22,096/33,814 = 33,814/x
3. Step 3: Cross multiply
   22,096x = 33,814 × 33,814
4. Step 4: Simplify right side
   22,096x = 1,143,386,596
5. Step 5: Solve for x
   x = 1,143,386,596/22,096
6. Step 6: Final answer
   x = 51,746.32