Finding the Third Proportional to 4,821.50 and 10,498

Step by Step Solution

1. Step 1: Write the proportion equation
   4,821.50 : 10,498 = 10,498 : x
2. Step 2: Convert to fraction form
   4,821.50/10,498 = 10,498/x
3. Step 3: Cross multiply
   4,821.50x = 10,498 × 10,498
4. Step 4: Simplify right side
   4,821.50x = 110,208,004
5. Step 5: Solve for x
   x = 110,208,004/4,821.50
6. Step 6: Final answer
   x = 22,857.62