Finding the Third Proportional to 2,059.31 and 4,563.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,059.31 : 4,563.56 = 4,563.56 : x
2. Step 2: Convert to fraction form
   2,059.31/4,563.56 = 4,563.56/x
3. Step 3: Cross multiply
   2,059.31x = 4,563.56 × 4,563.56
4. Step 4: Simplify right side
   2,059.31x = 20,826,102.69
5. Step 5: Solve for x
   x = 20,826,102.69/2,059.31
6. Step 6: Final answer
   x = 10,113.13