Finding the Third Proportional to 2,080.50 and 4,557

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.50 : 4,557 = 4,557 : x
2. Step 2: Convert to fraction form
   2,080.50/4,557 = 4,557/x
3. Step 3: Cross multiply
   2,080.50x = 4,557 × 4,557
4. Step 4: Simplify right side
   2,080.50x = 20,766,249
5. Step 5: Solve for x
   x = 20,766,249/2,080.50
6. Step 6: Final answer
   x = 9,981.37