Finding the Third Proportional to 23,880 and 33,405

Step by Step Solution

1. Step 1: Write the proportion equation
   23,880 : 33,405 = 33,405 : x
2. Step 2: Convert to fraction form
   23,880/33,405 = 33,405/x
3. Step 3: Cross multiply
   23,880x = 33,405 × 33,405
4. Step 4: Simplify right side
   23,880x = 1,115,894,025
5. Step 5: Solve for x
   x = 1,115,894,025/23,880
6. Step 6: Final answer
   x = 46,729.23