Finding the Third Proportional to 2,065.81 and 4,541.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.81 : 4,541.69 = 4,541.69 : x
2. Step 2: Convert to fraction form
   2,065.81/4,541.69 = 4,541.69/x
3. Step 3: Cross multiply
   2,065.81x = 4,541.69 × 4,541.69
4. Step 4: Simplify right side
   2,065.81x = 20,626,925.35
5. Step 5: Solve for x
   x = 20,626,925.35/2,065.81
6. Step 6: Final answer
   x = 9,984.90