Finding the Third Proportional to 21,436 and 46,830

Step by Step Solution

1. Step 1: Write the proportion equation
   21,436 : 46,830 = 46,830 : x
2. Step 2: Convert to fraction form
   21,436/46,830 = 46,830/x
3. Step 3: Cross multiply
   21,436x = 46,830 × 46,830
4. Step 4: Simplify right side
   21,436x = 2,193,048,900
5. Step 5: Solve for x
   x = 2,193,048,900/21,436
6. Step 6: Final answer
   x = 102,306.82