Finding the Third Proportional to 22,185 and 33,506

Step by Step Solution

1. Step 1: Write the proportion equation
   22,185 : 33,506 = 33,506 : x
2. Step 2: Convert to fraction form
   22,185/33,506 = 33,506/x
3. Step 3: Cross multiply
   22,185x = 33,506 × 33,506
4. Step 4: Simplify right side
   22,185x = 1,122,652,036
5. Step 5: Solve for x
   x = 1,122,652,036/22,185
6. Step 6: Final answer
   x = 50,604.10