Finding the Third Proportional to 22,185 and 33,507

Step by Step Solution

1. Step 1: Write the proportion equation
   22,185 : 33,507 = 33,507 : x
2. Step 2: Convert to fraction form
   22,185/33,507 = 33,507/x
3. Step 3: Cross multiply
   22,185x = 33,507 × 33,507
4. Step 4: Simplify right side
   22,185x = 1,122,719,049
5. Step 5: Solve for x
   x = 1,122,719,049/22,185
6. Step 6: Final answer
   x = 50,607.12