Finding the Third Proportional to 471.94 and 1,025.86

Step by Step Solution

1. Step 1: Write the proportion equation
   471.94 : 1,025.86 = 1,025.86 : x
2. Step 2: Convert to fraction form
   471.94/1,025.86 = 1,025.86/x
3. Step 3: Cross multiply
   471.94x = 1,025.86 × 1,025.86
4. Step 4: Simplify right side
   471.94x = 1,052,387.46
5. Step 5: Solve for x
   x = 1,052,387.46/471.94
6. Step 6: Final answer
   x = 2,229.93