Finding the Third Proportional to 21,243 and 46,680

Step by Step Solution

1. Step 1: Write the proportion equation
   21,243 : 46,680 = 46,680 : x
2. Step 2: Convert to fraction form
   21,243/46,680 = 46,680/x
3. Step 3: Cross multiply
   21,243x = 46,680 × 46,680
4. Step 4: Simplify right side
   21,243x = 2,179,022,400
5. Step 5: Solve for x
   x = 2,179,022,400/21,243
6. Step 6: Final answer
   x = 102,576.02