Finding the Third Proportional to 21,880 and 46,872

Step by Step Solution

1. Step 1: Write the proportion equation
   21,880 : 46,872 = 46,872 : x
2. Step 2: Convert to fraction form
   21,880/46,872 = 46,872/x
3. Step 3: Cross multiply
   21,880x = 46,872 × 46,872
4. Step 4: Simplify right side
   21,880x = 2,196,984,384
5. Step 5: Solve for x
   x = 2,196,984,384/21,880
6. Step 6: Final answer
   x = 100,410.62