Finding the Third Proportional to 2,081.50 and 4,526

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.50 : 4,526 = 4,526 : x
2. Step 2: Convert to fraction form
   2,081.50/4,526 = 4,526/x
3. Step 3: Cross multiply
   2,081.50x = 4,526 × 4,526
4. Step 4: Simplify right side
   2,081.50x = 20,484,676
5. Step 5: Solve for x
   x = 20,484,676/2,081.50
6. Step 6: Final answer
   x = 9,841.30