Finding the Third Proportional to 21,181 and 33,506

Step by Step Solution

1. Step 1: Write the proportion equation
   21,181 : 33,506 = 33,506 : x
2. Step 2: Convert to fraction form
   21,181/33,506 = 33,506/x
3. Step 3: Cross multiply
   21,181x = 33,506 × 33,506
4. Step 4: Simplify right side
   21,181x = 1,122,652,036
5. Step 5: Solve for x
   x = 1,122,652,036/21,181
6. Step 6: Final answer
   x = 53,002.79