Finding the Third Proportional to 2,059.59 and 4,580.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,059.59 : 4,580.72 = 4,580.72 : x
2. Step 2: Convert to fraction form
   2,059.59/4,580.72 = 4,580.72/x
3. Step 3: Cross multiply
   2,059.59x = 4,580.72 × 4,580.72
4. Step 4: Simplify right side
   2,059.59x = 20,982,984.27
5. Step 5: Solve for x
   x = 20,982,984.27/2,059.59
6. Step 6: Final answer
   x = 10,187.92