Finding the Third Proportional to 22,096 and 33,688

Step by Step Solution

1. Step 1: Write the proportion equation
   22,096 : 33,688 = 33,688 : x
2. Step 2: Convert to fraction form
   22,096/33,688 = 33,688/x
3. Step 3: Cross multiply
   22,096x = 33,688 × 33,688
4. Step 4: Simplify right side
   22,096x = 1,134,881,344
5. Step 5: Solve for x
   x = 1,134,881,344/22,096
6. Step 6: Final answer
   x = 51,361.39