Finding the Third Proportional to 1,025.16 and 2,179.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.16 : 2,179.41 = 2,179.41 : x
2. Step 2: Convert to fraction form
   1,025.16/2,179.41 = 2,179.41/x
3. Step 3: Cross multiply
   1,025.16x = 2,179.41 × 2,179.41
4. Step 4: Simplify right side
   1,025.16x = 4,749,811.60
5. Step 5: Solve for x
   x = 4,749,811.60/1,025.16
6. Step 6: Final answer
   x = 4,633.26